An effective upper bound for anti-canonical volumes of singular Fano 3-folds
数学专题报告
报告题目(Title):An effective upper bound for anti-canonical volumes of singular Fano 3-folds
报告人(Speaker):江辰 (上海数学中心)
地点(Place):后主楼1124
时间(Time):2023年4月26日(周三), 10:30-11:30
邀请人(Inviter):张科伟
报告摘要
Fano varieties are natural geometric objects in algebraic geometry and differential geometry. Motivated by the classifications theory, we are interested in certain boundedness properties of Fano varieties. In this talk, I will explain recent progress on the study of anti-canonical volumes of Fano 3-folds. We show that for a Fano 3-fold with e-lc singularities, the anti-canonical volume is at most 3200/e^4. This is based on a joint work with Yu Zou.
主讲人简介
江辰,复旦大学上海数学中心青年副教授。研究方向为双有理几何,主要研究内容有极小模型理论,Fano簇和Calabi-Yau簇的有界性,精细双有理几何等。