中国科学院数学与系统科学研究院

数学研究所

学术报告

代数几何研讨班

Speaker: 宋雷 副教授 (中山大学)

Title: On the Du Bois property of secant varieties

Time&Venue: 2024年12月20日（周五） 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.