Ara es mostren els items 1-11 de 11

    • An automorphic approach to Darmon points 

      Guitart Morales, Xavier; Masdeu Sabaté, Marc; Molina Blanco, Santiago (2020)
      Article
      Accés obert
      We 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 obert
      Let 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 obert
      The 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 obert
      The 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 obert
      We 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 obert
      In 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 obert
      We 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 obert
      We 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'editorial
      We 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 obert
      For 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 obert
      There 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 ...