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複素解析幾何セミナー
過去の記録 ～05/08｜次回の予定｜今後の予定 05/09～
| 開催情報 | 月曜日 10:30～12:00 数理科学研究科棟(駒場) 128号室 |
|---|---|
| 担当者 | 平地 健吾, 高山 茂晴 |
2022年07月04日(月)
10:30-12:00 オンライン開催
オンライン「のみ」となっております。参加される場合は参考URLからご登録ください。
山ノ井 克俊 氏 (大阪大学)
Bloch's principle for holomorphic maps into subvarieties of semi-abelian varieties (Japanese)
https://forms.gle/hYT2hVhDE3q1wDSh6
オンライン「のみ」となっております。参加される場合は参考URLからご登録ください。
山ノ井 克俊 氏 (大阪大学)
Bloch's principle for holomorphic maps into subvarieties of semi-abelian varieties (Japanese)
[ 講演概要 ]
We discuss a generalization of the logarithmic Bloch-Ochiai theorem about entire curves in subvarieties of semi-abelian varieties, in terms of sequences of holomorphic maps from the unit disc.
This generalization implies, among other things, that subvarieties of log general type in semi-abelian varieties are pseudo-Kobayashi hyperbolic.
As another application, we discuss an improvement of a classical theorem due to Cartan in 1920's about the system of nowhere vanishing holomorphic functions on the unit disc satisfying Borel's identity.
[ 参考URL ]We discuss a generalization of the logarithmic Bloch-Ochiai theorem about entire curves in subvarieties of semi-abelian varieties, in terms of sequences of holomorphic maps from the unit disc.
This generalization implies, among other things, that subvarieties of log general type in semi-abelian varieties are pseudo-Kobayashi hyperbolic.
As another application, we discuss an improvement of a classical theorem due to Cartan in 1920's about the system of nowhere vanishing holomorphic functions on the unit disc satisfying Borel's identity.
https://forms.gle/hYT2hVhDE3q1wDSh6
