Bornes sur le nombre de points rationnels des courbes -- en quete d'uniformite
Number Theory
2021-02-02 v2
Abstract
The aim of this paper is to show how a conjectural lower bound on the canonical height function in the spirit of Lang and Silverman leads to an explicit uniform bound on the number of rational points on curves of genus over a number field.
Keywords
Cite
@article{arxiv.1512.04907,
title = {Bornes sur le nombre de points rationnels des courbes -- en quete d'uniformite},
author = {Fabien Pazuki},
journal= {arXiv preprint arXiv:1512.04907},
year = {2021}
}
Comments
in French ; with an appendix by David and Philippon