Speaker: 宋雷副教授 , 中山大学

Inviter: 陈亦飞副研究员

Title: On the Du Bois property of secant varieties

Language: Chinese

Time & Venue: 2024.12.20 10:00-11:00 思源楼 S817

Abstract: I will show the singularities of the secant variety to a smooth projective subvariety embedded by a sufficiently positive (pluri-) adjoint linear series are Du Bois but not rational in general. Moreover, the secant variety can be p-Du Bois, in the sense of Shen-Venkatesh-Vo, if certain Hodge numbers of the smooth variety are zero; however it is almost never pre-1-rational. So unlike local complete intersections, p-Du Bois does not imply (p-1)-rational for secant varieties. The talk is based on the joint work with C-C. Chou and with S. Olano and D. Raychaudhury.