# name
Parametrization of abelian K-surfaces with quaternionic multiplication

# metadata.dc.description.abstract[].value
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.

# metadata.dc.rights[].value
(c)  Académie des Sciences ; French Academy of Sciences, 2009

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Parametrization of abelian K-surfaces with quaternionic multiplication