A bound for the torsion on subvarieties of abelian varieties

Galateau, Aurélien; Martínez, César

doi:10.1090/tran/8933

A bound for the torsion on subvarieties of abelian varieties
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by Aurélien Galateau and César Martínez;

Trans. Amer. Math. Soc. 377 (2024), 1693-1715

DOI: https://doi.org/10.1090/tran/8933

Published electronically: January 18, 2024

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Abstract:

We give a uniform bound on the degree of the maximal torsion cosets for subvarieties of an abelian variety. The proof combines algebraic interpolation and a theorem of Serre on homotheties in the Galois representation associated to the torsion subgroup of an abelian variety.

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A bound for the torsion on subvarieties of abelian varieties
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Abstract: