Rigidity of automorphisms of algebraic surfaces of general type
 发布时间： 2017-07-18     09:28   【返回上一页】 发布人：刘文飞

北京师范大学数学科学学院

（厦门大学）

In this talk, I will explain certain rigidity of (biholomorphic) automorphisms of algebraic surfaces of general type. It turns out that, if the irregularity of the surface is at least 3, then its automorphisms are determined by their action on the cohomology. For surfaces with irregularity 2, there do exist nontrivial automorphisms acting trivially on cohomology. In this case, we show instead that an automorphism is determined by its homotopy type. This is partly based on joint work with Jin-Xing Cai and Lei Zhang.