An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero
Number Theory
2025-04-30 v3 Algebraic Geometry
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.
Cite
@article{arxiv.2307.02101,
title = {An Explicit Uniform Mordell Conjecture over Function Fields of Characteristic Zero},
author = {Jiawei Yu},
journal= {arXiv preprint arXiv:2307.02101},
year = {2025}
}