On Vojta's proof of the Mordell conjecture
Number Theory
2025-11-11 v2 Algebraic Geometry
Abstract
This paper re-organizes Vojta's proof of the Mordell conjecture (i.e. Faltings' theorem) in terms of Arakelov geometry. A new ingredient is to replace an application of Gillet--Soule's arithmetic Riemannn--Roch theorem by that of Yuan's arithmetic Siu inequality.
Keywords
Cite
@article{arxiv.2508.11888,
title = {On Vojta's proof of the Mordell conjecture},
author = {Xinyi Yuan},
journal= {arXiv preprint arXiv:2508.11888},
year = {2025}
}