Parametrization of abelian K-surfaces with quaternionic multiplication

Guitart Morales, Xavier; Molina Blanco, Santiago

Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/193327

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DC Field	Value	Language
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.identifier.issn	1631-073X	-
dc.identifier.uri	http://hdl.handle.net/2445/193327	-
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.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.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	-
dc.identifier.idgrec	650039	-
dc.date.updated	2023-02-09T10:49:38Z	-
dc.rights.accessRights	info:eu-repo/semantics/openAccess	-
Appears in Collections:	Articles publicats en revistes (Matemàtiques i Informàtica)

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