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arXiv · 2006.00051

Birational conjugacies between endomorphisms on the projective plane

Serge Cantat·Junyi Xie
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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.

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Serge Cantat, Junyi Xie. 2020-05-29. Birational conjugacies between endomorphisms on the projective plane. https://arxiv.org/abs/2006.00051

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