Homothéties露骨的描写ℓ-adiques

IF 0.3 4区数学 Q4 MATHEMATICS Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-10-10 DOI:10.5802/jtnb.1257

Aurélien Galateau, César Martínez

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摘要

本文给出并指定了已知的关于与阿贝尔变体的扭转相关的l -进表示的同列子群的大小的主要结果。这样的估计使得在Manin-Mumford问题的框架内给出明确的统一边界成为可能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homothéties explicites des représentations ℓ-adiques

This article presents and specifies the main known results on the size of the subgroup of homotheties of ℓ-adic representations associated with the torsion of an abelian variety. Such estimates notably make it possible to give explicit uniform bounds in the framework of the Manin–Mumford problem.

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