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arXiv · 2006.07401

Homoth\'eties explicites des repr\'esentations $\ell$-adiques

Aurélien Galateau·César Martínez
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Abstract

We present classical and new results on the size of the subgroup of homotheties of $\ell$-adic representations associated to the torsion of an abelian variety. From these estimates, we derive uniform and explicit bounds for the Manin-Mumford problem.

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Aurélien Galateau, César Martínez. 2020-06-12. Homoth\'eties explicites des repr\'esentations $\ell$-adiques. https://arxiv.org/abs/2006.07401

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