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math.AG2019
Families of commuting automorphisms, and a characterization of the affine space
Serge Cantat, Andriy Regeta, Junyi Xie
In this paper we show that an affine space is determined by the abstract group structure of its group of regular automorphisms in the category of connected affine varieties. To pro…
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…