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math.AG2018
Arithmetic hyperbolicity: automorphisms and persistence
Ariyan Javanpeykar
We show that if the automorphism group of a projective variety is torsion, then it is finite. Motivated by Lang's conjecture on rational points of hyperbolic varieties, we use this…
math.AG2018
Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem
Ariyan Javanpeykar, Daniel Loughran
We prove an analogue for algebraic stacks of Hermite-Minkowski's finiteness theorem from algebraic number theory, and establish a Chevalley-Weil type theorem for integral points on…
math.AG2018
Algebraicity of analytic maps to a hyperbolic variety
Ariyan Javanpeykar, Robert A. Kucharczyk
Let be an algebraic variety over . We say that is Borel hyperbolic if, for every finite type reduced scheme over , every holomorphic map $S^{an}…