Explicit determination of the images of the Galois representations attached to abelian surfaces with End(A)=\Z

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dc.creatorDieulefait, Luis V.
dc.date2001-10-24
dc.date.accessioned2026-07-07T04:44:11Z
dc.date.available2026-07-07T04:44:11Z
dc.descriptionWe give an effective version of a result reported by Serre asserting that the images of the Galois representations attached to an abelian surface with $\End(A)= \mathbb{Z}$ are as large as possible for almost every prime. Our algorithm depends on the truth of Serre's conjecture for two dimensional odd irreducible Galois representations. Assuming this conjecture we determine the finite set of primes with exceptional image.
dc.identifierhttps://arxiv.org/abs/math/0110340
dc.identifierhttp://arxiv.org/abs/math/0110340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62533
dc.subjectNumber Theory
dc.titleExplicit determination of the images of the Galois representations attached to abelian surfaces with End(A)=\Z
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