The arithmetic of QM-abelian surfaces through their Galois representations

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dc.creatorDieulefait, Luis V.
dc.creatorRotger, V.
dc.date2003-03-13
dc.date2004-06-30
dc.date.accessioned2026-07-07T04:56:01Z
dc.date.available2026-07-07T04:56:01Z
dc.descriptionThis note provides an insight to the diophantine properties of abelian surfaces with quaternionic multiplication over number fields. We study the fields of definition of the endomorphisms on these abelian varieties and the images of the Galois representations on their Tate modules. We illustrate our results with several explicit examples.
dc.descriptionTo appear in J. Algebra
dc.identifierhttps://arxiv.org/abs/math/0303162
dc.identifierhttp://arxiv.org/abs/math/0303162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66780
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G18; 14G35
dc.titleThe arithmetic of QM-abelian surfaces through their Galois representations
dc.typetext

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