A bound for the torsion on subvarieties of abelian varieties
Number Theory
2017-10-13 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1710.04577,
title = {A bound for the torsion on subvarieties of abelian varieties},
author = {Aurélien Galateau and César Martínez},
journal= {arXiv preprint arXiv:1710.04577},
year = {2017}
}
Comments
21 pages