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Explicit homotheties of \(\ell\)-adic representations. (Homothéties explicites des représentations \(\ell\)-adiques.) (French. English summary) Zbl 07750332

Summary: This article presents and specifies the main known results on the size of the subgroup of homotheties of \(\ell\)-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.

MSC:

11G10 Abelian varieties of dimension \(> 1\)
11F80 Galois representations

References:

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