学术报告(Bin Wang 1.20)

A Noether-Lefschetz Theorem for Spectral Varieties with Applications

发布人:肖怡霏 发布日期:2022-01-18
主题
A Noether-Lefschetz Theorem for Spectral Varieties with Applications
活动时间
-
活动地址
腾讯会议 会议ID: 996 627 4250
主讲人
Bin Wang Steklov Institute of Mathematics (Moscow) 博士后
主持人
何伟强

We calculate the Picard group of generic (very general) spectral varieties living in the total space of a very ample line bundle over an algebraically closed field k of odd characteristics or characteristic 0. We follow the strategy of Ravindra and Srinivas via formal Picard groups. As an application, we calculate the generic fibers of Hitchin systems over a smooth quintic surface of Picard number 1. This is joint work with Xiaoyu Su.