Exploració per autor "Molina Blanco, Santiago"
Ara es mostren els items 1-11 de 11
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An automorphic approach to Darmon points
Guitart Morales, Xavier; Masdeu Sabaté, Marc; Molina Blanco, Santiago (2020)
Article
Accés obertWe give archimedean and non-archimedean constructions of Darmon points on modular abelian varieties attached to automorphic forms over arbitrary number fields and possibly non-trivial central character. An effort is made ... -
Anticyclotomic p-adic L-functions and the exceptional zero phenomenon
Molina Blanco, Santiago (2019-08-15)
Article
Accés obertLet A be a modular elliptic curve over a totally real field F, and let E/F be a totally imaginary quadratic extension. In the event of exceptional zero phenomenon, we prove a formula for the derivative of the multivariable ... -
Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
Molina Blanco, Santiago; Rotger Cerdà, Víctor (2014)
Article
Accés obertThe aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets ... -
Eichler–Shimura isomorphism and group cohomology on arithmetic groups
Molina Blanco, Santiago (2017-11)
Article
Accés obertThe Eichler-Shimura isomorphism realizes the automorphic representation generated by an automorphic newform in certain cohomology of an arithmetic group. In this short note, we give a cohomological interpretation of the ... -
Equations of hyperelliptic Shimura curves
Molina Blanco, Santiago (2012)
Article
Accés obertWe describe a method for computing equations of hyperelliptic Shimura curves attached to indefinite quaternion algebras over Q and Atkin–Lehner quotients of them. It exploits Cerednik–Drinfeld 's non-archimedean uniformization ... -
Extremal p-adic L-functions
Molina Blanco, Santiago (Multidisciplinary Digital Publishing Institute (MDPI), 2021-01-25)
Article
Accés obertIn this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is ... -
Finite slope triple product p-adic L-functions over totally real number fields
Molina Blanco, Santiago (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
Molina Blanco, Santiago (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
Guitart Morales, Xavier; Molina Blanco, Santiago (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
Molina Blanco, Santiago (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
Molina Blanco, Santiago; González Rovira, Josep (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 ...