• Abelian varieties with many endomorphisms and their absolutely simple factors 

      Guitart Morales, Xavier (2012)
      Article
      Accés restringit per política de l'editorial
      We characterize the abelian varieties arising as absolutely simple factors of GL2-type varieties over a number field k. In order to obtain this result, we study a wider class of abelian varieties: the k-varieties ...
    • Modular abelian varieties over number fields 

      Guitart Morales, Xavier; Quer Bosor, Jordi (2014)
      Article
      Accés restringit per política de l'editorial
      The main result of this paper is a characterization of the abelian varieties B=K defined over Galois number fields with the property that the L-function L(B=K; s) is a product of L-functions of non-CM newforms over Q for ...
    • On the Sato-Tate conjecture for non-generic abelian surfaces 

      Johansson, Christian; Fite Naya, Francesc (2017-01)
      Article
      Accés obert
      We prove many non-generic cases of the Sato-Tate conjecture for abelian surfaces as formulated by Fité, Kedlaya, Rotger and Sutherland, using the potential automorphy theorems of Barnet-Lamb, Gee, Geraghty and Taylor.
    • Periodic solutions with nonconstant sign in Abel equations of the second kind 

      Olm Miras, Josep Maria; Ros Oton, Xavier; Martínez-Seara Alonso, M. Teresa (2011-09)
      Article
      Accés obert
      The study of periodic solutions with constant sign in the Abel equation of the second kind can be made through the equation of the first kind. This is because the situation is equivalent under the transformation xmaps ...
    • Riemann, funciones theta y variedades abelianas 

      Muñoz Porras, José M. (2008-04-02)
      Audiovisual
      Accés obert
      Se definirán las funciones theta de una variable y se explicará su relación con la teoría de funciones elípticas. Se dará una introducción a la teoría de formas modulares y a la relación entre la función theta y la función ...