
Speaker: 张磊教授,中国科技大学
Inviter: 陈亦飞副研究员
Title: The structure of a locally trivial fibration
Language: Chinese
Time & Venue: 2024.11.22 15:15-16:15 思源楼 S723
Abstract: In this talk, we discuss this question: Let f:X→T be a locally trivial fibration with its one fiber denoted by F. Can we expect that X is isomorphic to (T’\times F)/G, where G is a finite subgroup of Aut(F), Y'→Y is a finite etale G-cover, and G acts on T’\times F diagonally? We give a positive answer when F is a good minimal model. And as an application, we prove that a variety, with holomorphic 1-forms without zeros, has a fiber bundle structure over an abelian variety. The basic idea to consider the polarized isomorphism functor.