Surface automorphism with invariant cubic curve and extra invariant curves

Date: 
2020/07/03 Fri 14:00 - 15:00
Speaker: 
Shigehiro Ushiki
Affiliation: 
Abstract: 

Birational map of the projective plane induces an automorphism of a complex surface under certain conditions. Most of known automorphisms have an invariant cubic curve. Extra invariant curves are discovered by numerical explorations. In this talk, we prove the existence of such invariant curves for several cases.