paper

Birational conjugacies between endomorphisms on the projective plane

arXiv:2006.00051

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.

13 pages

Birational conjugacies between endomorphisms on the projective plane · wovepaper