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代数幾何学セミナー
過去の記録 ～04/30｜次回の予定｜今後の予定 05/01～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) ハイブリッド開催/117号室 |
|---|---|
| 担当者 | 權業 善範、中村 勇哉、田中 公 |
2023年04月21日(金)
14:00-15:30 数理科学研究科棟(駒場) 117号室
ハイブリッド開催
河上 龍郎 氏 (京都大学)
Endomorphisms of varieties and Bott vanishing (Japanese)
ハイブリッド開催
河上 龍郎 氏 (京都大学)
Endomorphisms of varieties and Bott vanishing (Japanese)
[ 講演概要 ]
In this talk, we show that a projective variety with an int-amplified endomorphism of degree invertible in the base field satisfies Bott vanishing. This is a new way to analyze which varieties have nontrivial endomorphisms. In particular, we extend some classification results on varieties admitting endomorphisms (for Fano threefolds of Picard number one and several other cases) to any characteristic. This talk is based on joint work with Burt Totaro.
In this talk, we show that a projective variety with an int-amplified endomorphism of degree invertible in the base field satisfies Bott vanishing. This is a new way to analyze which varieties have nontrivial endomorphisms. In particular, we extend some classification results on varieties admitting endomorphisms (for Fano threefolds of Picard number one and several other cases) to any characteristic. This talk is based on joint work with Burt Totaro.
