Exploració per autor "Molina Blanco, Santiago"
Ara es mostren els items 7-11 de 11
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Finite slope triple product p-adic L-functions over totally real number fields
(2021-06-01)
Article
Accés obertWe construct p-adic L-functions associated with triples of finite slope p-adic families of quaternionic automorphic eigenforms over totally real fields on Shimura curves. These results generalize a previous construction, ... -
Galois action on $\bar{\mathbb Q}$-isogeny classes of abelian $L$-surfaces with quaternionic multiplication
(2017-12-08)
Article
Accés obertWe construct a projective Galois representation attached to an abelian L-surface with quaternionic multiplication, describing the Galois action on its Tate module. We prove that such representation characterizes the Galois ... -
Parametrization of Abelian K-surfaces with quaternionic multiplication
(Elsevier, 2009-12)
Article
Accés restringit per política de l'editorialWe 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 ... -
Ribet Bimodules and the Specialization of Heegner points
(2012)
Article
Accés obertFor a given order R in an imaginary quadratic field K, we study the specialization of the set CM(R) of Heegner points on the Shimura curve X = X0(D,N) at primes p | DN. As we show, if p does not divide the conductor of R, ... -
The kernel of Ribet’s isogeny for genus three Shimura curves
(2015)
Article
Accés obertThere are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which the Shimura curve XD attached to D has genus 3. We present equations for these nine curves. Moreover, for each D we determine ...
