Birational conjugacies between endomorphisms on the projective plane
Serge Cantat, Junyi Xie
Published: 2020/5/29
Abstract
We proved that, in characteristic 0, if two dominant endomorphisms of the projective plane of degree at least 2 are conjugate by some birational transformation, then they are conjugate by an automorphism. We also gave counterexamples in positive characteristic.