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Birational conjugacies between endomorphisms on the projective plane

Authors :
Cantat, Serge
Xie, Junyi
Publication Year :
2020

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.<br />Comment: 10 pages

Subjects

Subjects :
Mathematics - Algebraic Geometry
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2006.00051
Document Type :
Working Paper

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