Parametrization of abelian K-surfaces with quaternionic multiplication

dc.contributor.author	Guitart Morales, Xavier
dc.contributor.author	Molina Blanco, Santiago
dc.date.accessioned	2023-02-09T10:49:38Z
dc.date.available	2023-02-09T10:49:38Z
dc.date.issued	2009-12
dc.date.updated	2023-02-09T10:49:38Z
dc.description.abstract	We 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.extent	6 p.
dc.format.mimetype	application/pdf
dc.identifier.idgrec	650039
dc.identifier.issn	1631-073X
dc.identifier.uri	https://hdl.handle.net/2445/193327
dc.language.iso	eng
dc.publisher	Elsevier Masson
dc.relation.isformatof	Versió postprint del document publicat a: https://doi.org/10.1016/j.crma.2009.09.025
dc.relation.ispartof	Comptes Rendus Mathématique , 2009, vol. 347, num. 23-24, p. 1325-1330
dc.relation.uri	https://doi.org/10.1016/j.crma.2009.09.025
dc.rights	(c) Académie des Sciences ; French Academy of Sciences, 2009
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.source	Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classification	Geometria algebraica aritmètica
dc.subject.classification	Varietats abelianes
dc.subject.other	Arithmetical algebraic geometry
dc.subject.other	Abelian varieties
dc.title	Parametrization of abelian K-surfaces with quaternionic multiplication
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion

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