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 $4$.