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代数幾何学セミナー
過去の記録 ～12/26｜次回の予定｜今後の予定 12/27～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) 118号室 |
|---|---|
| 担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
次回の予定
2026年01月07日(水)
10:30-12:00 数理科学研究科棟(駒場) 122号室
いつもと曜日・時間が異なります。
Jun-Muk Hwang 氏 (IBS Center for Complex Geometry)
Fundamental forms and infinitesimal symmetries of projective varieties
いつもと曜日・時間が異なります。
Jun-Muk Hwang 氏 (IBS Center for Complex Geometry)
Fundamental forms and infinitesimal symmetries of projective varieties
[ 講演概要 ]
We give a bound on the dimension of the linear automorphism group of a projective variety $Z \subset P^n$ in terms of its fundamental forms at a general point. Moreover, we show that the bound is achieved precisely when $Z \subset P^n$ is projectively equivalent to an Euler-symmetric variety. As a by-product, we determine the Lie algebra of infinitesimal automorphisms of an Euler-symmetric variety and also obtain a rigidity result on the specialization of an Euler-symmetric variety preserving the isomorphism type of the fundamental forms. This is a joint work with Qifeng Li.
We give a bound on the dimension of the linear automorphism group of a projective variety $Z \subset P^n$ in terms of its fundamental forms at a general point. Moreover, we show that the bound is achieved precisely when $Z \subset P^n$ is projectively equivalent to an Euler-symmetric variety. As a by-product, we determine the Lie algebra of infinitesimal automorphisms of an Euler-symmetric variety and also obtain a rigidity result on the specialization of an Euler-symmetric variety preserving the isomorphism type of the fundamental forms. This is a joint work with Qifeng Li.
