<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><meta http-equiv="Content-Type" content="text/html; charset=utf-8" class=""><div style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><meta http-equiv="Content-Type" content="text/html; charset=utf-8" class=""><div style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><div class="">皆様<br class=""><br class="">複素解析幾何セミナー@東大数理のご案内です。<br class=""></div><div class=""><br class=""></div><div class=""><h3 style="margin: 3px 0px 8px; padding: 5px 0px; font-family: メイリオ, Meiryo, "ヒラギノ角ゴ Pro W3", "Hiragino Kaku Gothic Pro", Osaka, "MS Pゴシック", "MS PGothic", Helvetica, Arial, sans-serif; font-size: 14px; font-stretch: inherit; line-height: inherit; vertical-align: baseline; border-top-width: 1px; border-top-style: dotted; border-top-color: rgb(33, 127, 196); border-bottom-width: 1px; border-bottom-style: dotted; border-bottom-color: rgb(33, 127, 196); overflow: hidden; caret-color: rgb(51, 51, 51); color: rgb(51, 51, 51);" class="">2020年11月30日(月)</h3><div class="seminar_naiyo" style="margin: 0px 0px 20px; padding: 0px; font-family: メイリオ, Meiryo, "ヒラギノ角ゴ Pro W3", "Hiragino Kaku Gothic Pro", Osaka, "MS Pゴシック", "MS PGothic", Helvetica, Arial, sans-serif; font-size: 13px; font-stretch: inherit; line-height: inherit; vertical-align: baseline; caret-color: rgb(51, 51, 51); color: rgb(51, 51, 51);">10:30-12:00   オンライン開催<br class=""><strong style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline;" class="">岩井雅崇 氏</strong> (大阪市立大数学研究所, 京都大数理解析研究所)<br class="">On asymptotic base loci of relative anti-canonical divisors<br class=""><div class="waku" style="margin: 5px 0px 8px; padding: 9px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; border: 1px solid rgb(204, 204, 204); background-color: rgb(239, 239, 239);">[ 講演概要 ]<br class="">射影代数多様体間の正則写像<span class="MathJax_Preview" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; color: inherit;"></span><span id="MathJax-Element-1-Frame" class="MathJax_CHTML mjx-chtml" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mi>X</mi><mo stretchy="false">&#x2192;</mo><mi>Y</mi></math>" role="presentation" style="margin: 0px; padding: 1px 0px; font-family: inherit; font-size: 15.989999771118164px; font-variant-caps: inherit; font-stretch: inherit; line-height: 0; vertical-align: baseline; display: inline-block; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;"><span id="MJXc-Node-1" class="mjx-math" aria-hidden="true" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; border-collapse: separate; border-spacing: 0px;"><span id="MJXc-Node-2" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-3" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.503em 0.06em 0.503em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">f</span></span><span id="MJXc-Node-4" class="MJXc-space3 mjx-mo" style="margin: 0px 0px 0px 0.278em; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.128em 0px 0.316em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">:</span></span><span id="MJXc-Node-5" class="MJXc-space3 mjx-mi" style="margin: 0px 0px 0px 0.278em; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.024em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">X</span></span><span id="MJXc-Node-6" class="MJXc-space3 mjx-mo" style="margin: 0px 0px 0px 0.278em; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.253em 0px 0.378em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">→</span></span><span id="MJXc-Node-7" class="MJXc-space3 mjx-mi" style="margin: 0px 0px 0px 0.278em; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.182em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">Y</span></span></span></span><span class="MJX_Assistive_MathML" role="presentation" style="margin: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); -webkit-user-select: none; padding: 1px 0px 0px !important; position: absolute !important; border: 0px !important; height: 1px !important; width: 1px !important; overflow: hidden !important; display: block !important;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>:</mo><mi>X</mi><mo stretchy="false">→</mo><mi>Y</mi></math></span></span>について, その相対的反標準 因子<span class="MathJax_Preview" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; color: inherit;"></span><span id="MathJax-Element-2-Frame" class="MathJax_CHTML mjx-chtml" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2212;</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math>" role="presentation" style="margin: 0px; padding: 1px 0px; font-family: inherit; font-size: 15.989999771118164px; font-variant-caps: inherit; font-stretch: inherit; line-height: 0; vertical-align: baseline; display: inline-block; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;"><span id="MJXc-Node-8" class="mjx-math" aria-hidden="true" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; border-collapse: separate; border-spacing: 0px;"><span id="MJXc-Node-9" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-10" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.316em 0px 0.441em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">−</span></span><span id="MJXc-Node-11" class="mjx-msubsup" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-base" style="margin: 0px -0.04em 0px 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-12" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.04em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">K</span></span></span><span class="mjx-sub" style="margin: 0px; padding: 0px 0.071em 0px 0px; font-family: inherit; font-size: 11.30492877960205px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: -0.275em; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-13" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-14" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-15" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.024em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">X</span></span><span id="MJXc-Node-16" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-17" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-18" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.441em 0px 0.566em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">/</span></span></span></span><span id="MJXc-Node-19" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.182em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">Y</span></span></span></span></span></span></span></span><span class="MJX_Assistive_MathML" role="presentation" style="margin: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); -webkit-user-select: none; padding: 1px 0px 0px !important; position: absolute !important; border: 0px !important; height: 1px !important; width: 1px !important; overflow: hidden !important; display: block !important;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>−</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math></span></span>は豊富などの正値性を持ちづらいことがわかっている. 例えば, Kollar-宮岡-森から「<span class="MathJax_Preview" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; color: inherit;"></span><span id="MathJax-Element-3-Frame" class="MathJax_CHTML mjx-chtml" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2212;</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math>" role="presentation" style="margin: 0px; padding: 1px 0px; font-family: inherit; font-size: 15.989999771118164px; font-variant-caps: inherit; font-stretch: inherit; line-height: 0; vertical-align: baseline; display: inline-block; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;"><span id="MJXc-Node-20" class="mjx-math" aria-hidden="true" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; border-collapse: separate; border-spacing: 0px;"><span id="MJXc-Node-21" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-22" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.316em 0px 0.441em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">−</span></span><span id="MJXc-Node-23" class="mjx-msubsup" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-base" style="margin: 0px -0.04em 0px 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-24" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.04em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">K</span></span></span><span class="mjx-sub" style="margin: 0px; padding: 0px 0.071em 0px 0px; font-family: inherit; font-size: 11.30492877960205px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: -0.275em; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-25" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-26" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-27" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.024em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">X</span></span><span id="MJXc-Node-28" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-29" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-30" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.441em 0px 0.566em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">/</span></span></span></span><span id="MJXc-Node-31" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.182em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">Y</span></span></span></span></span></span></span></span><span class="MJX_Assistive_MathML" role="presentation" style="margin: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); -webkit-user-select: none; padding: 1px 0px 0px !important; position: absolute !important; border: 0px !important; height: 1px !important; width: 1px !important; overflow: hidden !important; display: block !important;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>−</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math></span></span>が豊富ならば, Yの次元が0になる」ことが知ら れており, Cao-Horingなどから「<span class="MathJax_Preview" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; color: inherit;"></span><span id="MathJax-Element-4-Frame" class="MathJax_CHTML mjx-chtml" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2212;</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math>" role="presentation" style="margin: 0px; padding: 1px 0px; font-family: inherit; font-size: 15.989999771118164px; font-variant-caps: inherit; font-stretch: inherit; line-height: 0; vertical-align: baseline; display: inline-block; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;"><span id="MJXc-Node-32" class="mjx-math" aria-hidden="true" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; border-collapse: separate; border-spacing: 0px;"><span id="MJXc-Node-33" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-34" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.316em 0px 0.441em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">−</span></span><span id="MJXc-Node-35" class="mjx-msubsup" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-base" style="margin: 0px -0.04em 0px 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-36" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.04em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">K</span></span></span><span class="mjx-sub" style="margin: 0px; padding: 0px 0.071em 0px 0px; font-family: inherit; font-size: 11.30492877960205px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: -0.275em; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-37" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-38" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-39" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.024em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">X</span></span><span id="MJXc-Node-40" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-41" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-42" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.441em 0px 0.566em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">/</span></span></span></span><span id="MJXc-Node-43" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.182em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">Y</span></span></span></span></span></span></span></span><span class="MJX_Assistive_MathML" role="presentation" style="margin: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); -webkit-user-select: none; padding: 1px 0px 0px !important; position: absolute !important; border: 0px !important; height: 1px !important; width: 1px !important; overflow: hidden !important; display: block !important;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>−</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math></span></span>がネフならば, fが解析的ファイ バー束になる」ことが知られている.<br class="">この講演では, <span class="MathJax_Preview" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; color: inherit;"></span><span id="MathJax-Element-5-Frame" class="MathJax_CHTML mjx-chtml" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2212;</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math>" role="presentation" style="margin: 0px; padding: 1px 0px; font-family: inherit; font-size: 15.989999771118164px; font-variant-caps: inherit; font-stretch: inherit; line-height: 0; vertical-align: baseline; display: inline-block; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;"><span id="MJXc-Node-44" class="mjx-math" aria-hidden="true" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; border-collapse: separate; border-spacing: 0px;"><span id="MJXc-Node-45" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-46" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.316em 0px 0.441em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">−</span></span><span id="MJXc-Node-47" class="mjx-msubsup" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-base" style="margin: 0px -0.04em 0px 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-48" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.04em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">K</span></span></span><span class="mjx-sub" style="margin: 0px; padding: 0px 0.071em 0px 0px; font-family: inherit; font-size: 11.30492877960205px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: -0.275em; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-49" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-50" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-51" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.024em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">X</span></span><span id="MJXc-Node-52" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-53" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-54" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.441em 0px 0.566em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">/</span></span></span></span><span id="MJXc-Node-55" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.182em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">Y</span></span></span></span></span></span></span></span><span class="MJX_Assistive_MathML" role="presentation" style="margin: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); -webkit-user-select: none; padding: 1px 0px 0px !important; position: absolute !important; border: 0px !important; height: 1px !important; width: 1px !important; overflow: hidden !important; display: block !important;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>−</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math></span></span>から定まる"asymptotic base loci"という集合を用い て, 上記の結果が巨大や擬有効へ拡張できることを紹介する. また 「<span class="MathJax_Preview" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; color: inherit;"></span><span id="MathJax-Element-6-Frame" class="MathJax_CHTML mjx-chtml" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2212;</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math>" role="presentation" style="margin: 0px; padding: 1px 0px; font-family: inherit; font-size: 15.989999771118164px; font-variant-caps: inherit; font-stretch: inherit; line-height: 0; vertical-align: baseline; display: inline-block; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;"><span id="MJXc-Node-56" class="mjx-math" aria-hidden="true" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; border-collapse: separate; border-spacing: 0px;"><span id="MJXc-Node-57" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-58" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.316em 0px 0.441em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">−</span></span><span id="MJXc-Node-59" class="mjx-msubsup" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-base" style="margin: 0px -0.04em 0px 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-60" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.04em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">K</span></span></span><span class="mjx-sub" style="margin: 0px; padding: 0px 0.071em 0px 0px; font-family: inherit; font-size: 11.30492877960205px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: -0.275em; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-61" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-62" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-63" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.024em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">X</span></span><span id="MJXc-Node-64" class="mjx-texatom" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-65" class="mjx-mrow" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span id="MJXc-Node-66" class="mjx-mo" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-main-R" style="margin: 0px; padding: 0.441em 0px 0.566em; font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">/</span></span></span></span><span id="MJXc-Node-67" class="mjx-mi" style="margin: 0px; padding: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: inline-block; box-sizing: content-box !important;"><span class="mjx-char MJXc-TeX-math-I" style="margin: 0px; padding: 0.441em 0.182em 0.253em 0px; font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; display: block; white-space: pre; box-sizing: content-box !important;">Y</span></span></span></span></span></span></span></span><span class="MJX_Assistive_MathML" role="presentation" style="margin: 0px; font-family: inherit; font-size: inherit; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; vertical-align: baseline; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); -webkit-user-select: none; padding: 1px 0px 0px !important; position: absolute !important; border: 0px !important; height: 1px !important; width: 1px !important; overflow: hidden !important; display: block !important;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>−</mo><msub><mi>K</mi><mrow class="MJX-TeXAtom-ORD"><mi>X</mi><mrow class="MJX-TeXAtom-ORD"><mo>/</mo></mrow><mi>Y</mi></mrow></msub></math></span></span>から定まる"asymptotic base loci"が, 空集合か水平方向に存在す るかのどちらかである」ことも紹介する. この研究は大阪大学の江尻祥氏と東北 大学の松村慎一氏との共同研究である.</div></div></div><div class="">参加URLはこちら(ZoomのURLは今学期間共通です.登録は一度大丈夫です)</div><div class=""><a href="https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB" class="">https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB</a><br class=""><br class="">今後の予定はこちら<br class=""><a href="https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html" class="">https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html</a><br class=""><br class="">講演者も募集中です。<br class=""><br class="">世話人<br class="">平地 健吾, 高山 茂晴</div></div>_______________________________________________<br class="">Geometry-ml mailing list<br class=""><a href="mailto:Geometry-ml@math.nagoya-u.ac.jp" class="">Geometry-ml@math.nagoya-u.ac.jp</a><br class=""><a href="https://mail.math.nagoya-u.ac.jp/mailman/listinfo/geometry-ml" class="">https://mail.math.nagoya-u.ac.jp/mailman/listinfo/geometry-ml</a><br class=""></div></body></html>