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arXiv · 1710.04577

A bound for the torsion on subvarieties of abelian varieties

Aurélien Galateau·César Martínez
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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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Aurélien Galateau, César Martínez. 2017-10-12. A bound for the torsion on subvarieties of abelian varieties. https://arxiv.org/abs/1710.04577

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