Parametrization of abelian K-surfaces with quaternionic multiplication
Guitart, Xavier · Molina, Santiago
Original · EN
We prove that the abelian K-surfaces whose endomorphism algebra is a 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.
English translation
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