Parametrization of abelian K-surfaces with quaternionic multiplication

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dc.contributor.authorGuitart Morales, Xavier
dc.contributor.authorMolina Blanco, Santiago
dc.date.accessioned2023-02-09T10:49:38Z
dc.date.available2023-02-09T10:49:38Z
dc.date.issued2009-12
dc.date.updated2023-02-09T10:49:38Z
dc.description.abstractWe prove that the Abelian $K$-surfaces whose endomorphism algebra is a rational quaternion algebra are parametrized, up to isogeny, by the $K$-rational points of the quotient of certain Shimura curves by the group of their Atkin-Lehner involutions.
dc.format.extent6 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec650039
dc.identifier.issn1631-073X
dc.identifier.urihttps://hdl.handle.net/2445/193327
dc.language.isoeng
dc.publisherElsevier Masson
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1016/j.crma.2009.09.025
dc.relation.ispartofComptes Rendus Mathématique , 2009, vol. 347, num. 23-24, p. 1325-1330
dc.relation.urihttps://doi.org/10.1016/j.crma.2009.09.025
dc.rights(c) Académie des Sciences ; French Academy of Sciences, 2009
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationGeometria algebraica aritmètica
dc.subject.classificationVarietats abelianes
dc.subject.otherArithmetical algebraic geometry
dc.subject.otherAbelian varieties
dc.titleParametrization of abelian K-surfaces with quaternionic multiplication
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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