On abelian surfaces with potential quaternionic multiplication

Simple item page
dc.creatorDieulefait, Luis
dc.creatorRotger, Victor
dc.date2004-09-20
dc.date.accessioned2026-07-07T05:12:20Z
dc.date.available2026-07-07T05:12:20Z
dc.descriptionAn abelian surface A over a field K has potential quaternionic multiplication if the ring End_\bar K (A) of geometric endomorphisms of A is an order in an indefinite rational division quaternion algebra. In this brief note, we study the possible structures of the ring of endomorphisms of these surfaces and we provide explicit examples of Jacobians of curves of genus two which show that our result is sharp.
dc.descriptionTo appear in Bull. Belgian Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0409357
dc.identifierhttp://arxiv.org/abs/math/0409357
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72541
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G18; 14G35
dc.titleOn abelian surfaces with potential quaternionic multiplication
dc.typetext

Files

Collections

arXiv