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math.AG2019
Finiteness properties of pseudo-hyperbolic varieties
Ariyan Javanpeykar, Junyi Xie
Motivated by Lang-Vojta's conjecture, we show that the set of dominant rational self-maps of an algebraic variety over a number field with only finitely many rational points in any…
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…