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math.NT2003
Shimura curves embedded in Igusa's threefold
Victor Rotger
Let O be a maximal order in a totally indefinite quaternion algebra over a totally real number field. In this note we study the locus Q_O of quaternionic multiplication by O in the…
math.NT2003★ 1 cited
The arithmetic of QM-abelian surfaces through their Galois representations
Luis V. Dieulefait, V. Rotger
This note provides an insight to the diophantine properties of abelian surfaces with quaternionic multiplication over number fields. We study the fields of definition of the endomo…