Homoth\'eties explicites des repr\'esentations $\ell$-adiques
Number Theory
2020-09-14 v2
Abstract
We present classical and new results on the size of the subgroup of homotheties of -adic representations associated to the torsion of an abelian variety. From these estimates, we derive uniform and explicit bounds for the Manin-Mumford problem.
Keywords
Cite
@article{arxiv.2006.07401,
title = {Homoth\'eties explicites des repr\'esentations $\ell$-adiques},
author = {Aurélien Galateau and César Martínez},
journal= {arXiv preprint arXiv:2006.07401},
year = {2020}
}
Comments
19 pages, in French. This second version uses new results by Gaudron and R\'emond on isogenies