Birational conjugacies between endomorphisms on the projective plane
Algebraic Geometry
2025-09-23 v3 Dynamical Systems
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.
Cite
@article{arxiv.2006.00051,
title = {Birational conjugacies between endomorphisms on the projective plane},
author = {Serge Cantat and Junyi Xie},
journal= {arXiv preprint arXiv:2006.00051},
year = {2025}
}
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13 pages