[geometry-ml:05449] 複素解析幾何セミナー11/27開始時間変更
Kengo Hirachi
hirachi @ ms.u-tokyo.ac.jp
2023年 11月 24日 (金) 13:51:14 JST
皆様
11/27の複素解析幾何セミナーは開始時間を30分遅らせて11:00開始とします.
平地健吾
2023年11月27日(月)
11:00-12:30 数理科学研究科棟(駒場) 128号室
小川 智史 氏 (大阪公立大学)
On a holomorphic tubular neighborhood of a compact complex curve and Brjuno condition (Japanese)
[ 講演概要 ]
Let
C
be a compact complex curve holomorphically embedded in a non-singular complex surface
M
with a unitary flat normal bundle
N
C
/
M
and let
U
be a finite open cover of
C
. Gong--Stolovitch posed a sufficient condition for the existence of a holomorphic tubular neighborhood of
C
in
M
expressed with operator norms of Čech coboundary maps
δ
on
ˇ
C
0
(
U
,
O
C
(
N
ν
C
/
M
)
)
and
ˇ
C
0
(
U
,
O
C
(
T
C
⊗
N
ν
C
/
M
)
)
.
In this talk, we introduce some estimates of the operator norms of
δ
. As a result, we see the Brjuno condition appears as a sufficient condition for the existence of a holomorphic tubular neighborhood.
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/meeting/register/tZEqceqsrTIjEtRxenSMdPogvCxlWzAogj5A
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