代数几何研讨班：The structure of a locally trivial fibration

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

报告人: 张磊 教授（中国科技大学）
    

题  目：The structure of a locally trivial fibration
   

时  间：2024.11.22（星期五）15：15-16：15
   

地  点：思源楼S723
   

摘  要：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.