An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero

Jiawei Yu

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arXiv · 2307.02101

An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero

Jiawei Yu

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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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Jiawei Yu. 2023-07-05. An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero. https://arxiv.org/abs/2307.02101

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