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A bound for the torsion on subvarieties of abelian varieties

Published 12 Oct 2017 in math.NT and math.AG | (1710.04577v1)

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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