dc.contributor.author
Guitart Morales, Xavier
dc.contributor.author
Molina Blanco, Santiago
dc.date.issued
2023-02-09T10:49:38Z
dc.date.issued
2023-02-09T10:49:38Z
dc.date.issued
2023-02-09T10:49:38Z
dc.identifier
https://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
application/pdf
dc.publisher
Elsevier Masson
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1016/j.crma.2009.09.025
dc.relation
Comptes Rendus Mathématique , 2009, vol. 347, num. 23-24, p. 1325-1330
dc.relation
https://doi.org/10.1016/j.crma.2009.09.025
dc.rights
(c) Académie des Sciences ; French Academy of Sciences, 2009
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Geometria algebraica aritmètica
dc.subject
Varietats abelianes
dc.subject
Arithmetical algebraic geometry
dc.subject
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
