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math.DS2021
Remarks on algebraic dynamics in positive characteristic
Junyi Xie
In this paper, we study arithmetic dynamics in arbitrary characteristic, in particular in positive characteristic. We generalise some basic facts on arithmetic degree and canonical…
math.DS2020
Free actions of large groups on complex threefolds
Serge Cantat, Olga Paris-Romaskevich, Junyi Xie
We classify compact Kähler threefolds with a free group of automorphisms acting freely on .
math.DS2019
The existence of Zariski dense orbits for endomorphisms of projective surfaces (with an appendix in collaboration with Thomas Tucker)
Junyi Xie
In this paper we prove the following theorem. Let be a dominant endomorphism of a smooth projective surface over an algebraically closed field of characteristic . If there i…