Explicit surjectivity of Galois representations for abelian surfaces and \(\operatorname{GL}_{2}\)-varieties

DOI10.1016/j.jalgebra.2016.04.011zbMath1343.11058arXiv1411.1703OpenAlexW2346767626MaRDI QIDQ296649

Davide Lombardo

Publication date: 23 June 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1703

zbMATH Keywords

abelian varietiesGalois representationsTate module

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Galois representations (11F80) Arithmetic ground fields for abelian varieties (14K15)

Related Items

On the local-global divisibility over abelian varieties ⋮ Computing the geometric endomorphism ring of a genus-2 Jacobian ⋮ Explicit homotheties of \(\ell\)-adic representations ⋮ Towards a classification of entanglements of Galois representations attached to elliptic curves ⋮ On the local-global principle for isogenies of abelian surfaces ⋮ On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties ⋮ Surjectivity of Galois representations in rational families of abelian varieties

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