Aurélien Galateau, César Martínez
Abstract
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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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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.
Key concepts: Mathematics, Torsion subgroup, Torsion (gastropod), Abelian group, Coset, Pure mathematics, Abelian variety, Arithmetic of abelian varieties