Canonically fibered surfaces of general type

发布者:文明办作者:发布时间:2020-06-17浏览次数:457


主讲人:吕鑫 华东师范大学教授


时间:2020年6月18日10:00


地点:腾讯会议 467293340


举办单位:数理学院


内容介绍: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 $4$.