An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero

2023/07/05 by Yu, Jiawei
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2307.02101

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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