Guitart Morales, XavierMolina Blanco, Santiago2023-02-092023-02-092009-121631-073Xhttps://hdl.handle.net/2445/193327We 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.6 p.application/pdfeng(c) Académie des Sciences ; French Academy of Sciences, 2009Geometria algebraica aritmèticaVarietats abelianesArithmetical algebraic geometryAbelian varietiesParametrization of abelian K-surfaces with quaternionic multiplicationinfo:eu-repo/semantics/article6500392023-02-09info:eu-repo/semantics/openAccess