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An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero

Published 5 Jul 2023 in math.NT and math.AG | (2307.02101v3)

Abstract: We give an explicit uniform result on the Mordell conjecture for non-isotrivial curves over function field of characteristic 0. The proof is based on Vojta's method, and make use of Zhang's admissible adelic line bundles and a quantitative proof of the Bogomolov conjecture by Looper-Silverman-Wilms.

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