Online Tecent Meeting of Canonically fibered surfaces of general type

Publisher:信息发布员Date:2020-09-04Views:10

Canonically fibered surfaces of general type

Sponsor: SHNU College of Mathematics and Mechanical Engineering

The canonical map of a surface of general type is called fibered, if its  canonical map induces a fibration. Beauville showed that the genus of such a  fibration is bounded from above by $5$ when the geometric genus is large.  Examples with the genus equal to $2$ or $3$ have been constructed. Xiao asked  whether there exists a surface of general type with large geometric genus, whose  canonical map is fibered of genus greater than $3$? In this talk, I will report  such examples with the genus equal to $4$.