摘要：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.