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math.NT2019
Lang-Vojta Conjecture over function fields for surfaces dominating
Laura Capuano, Amos Turchet
We prove the nonsplit case of the Lang-Vojta conjecture over function fields for surfaces of log general type that are ramified covers of . This extends results of…
math.NT2019★ 6 cited
The Erdős-Ulam problem, Lang's conjecture, and uniformity
Kenneth Ascher, Lucas Braune, Amos Turchet
A rational distance set is a subset of the plane such that the distance between any two points is a rational number. We show, assuming Lang's Conjecture, that the cardinalities of…