A bound for the torsion on subvarieties of abelian varieties
Copyright policy )A bound for the torsion on subvarieties of abelian varieties
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.
- Normandie Université France
- CY Cergy Paris University France
- Université de Caen Normandie France
- Université Bourgogne Franche-Comté France
- University of Franche-Comté France
Mathematics - Number Theory, Subvarieties of abelian varieties, [MATH] Mathematics [math], 510, Abelian varieties of dimension \(> 1\), abelian varieties, Mathematics - Algebraic Geometry, FOS: Mathematics, torsion points, Number Theory (math.NT), [MATH]Mathematics [math], Manin-Mumford conjecture, Algebraic Geometry (math.AG)
Mathematics - Number Theory, Subvarieties of abelian varieties, [MATH] Mathematics [math], 510, Abelian varieties of dimension \(> 1\), abelian varieties, Mathematics - Algebraic Geometry, FOS: Mathematics, torsion points, Number Theory (math.NT), [MATH]Mathematics [math], Manin-Mumford conjecture, Algebraic Geometry (math.AG)
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