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math.NT2002★ 3 cited
Quaternions, polarizations and class numbers
Victor Rotger
We study abelian varieties with multiplication by a totally indefinite quaternion algebra over a totally real number field and give a criterion for the existence of principal p…
math.AG2002★ 2 cited
On the group of automorphisms of Shimura curves and applications
Victor Rotger
Let V_D be the Shimura curve over \Q attached to the indefinite rational quaternion algebra of discriminant D. In this note we investigate the group of automorphisms of V_D and pro…