Ara es mostren els items 1-10 de 10

    • 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 ...
    • 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 ...
    • Computation of ATR Darmon points on nongeometrically modular elliptic curves 

      Guitart Morales, Xavier; Masdeu, Marc (2013-03)
      Article
      Accés restringit per política de l'editorial
      ATR points were introduced by Darmon as a conjectural con- struction of algebraic points on certain elliptic curves for which the Heegner-point method is not in general available. So far, the only numerical evidence, ...
    • Fields of definition of elliptic k-curves and the realizability of all genus 2 sato–tate groups over a number field 

      Fite Naya, Francesc; Guitart Morales, Xavier (2018-07-01)
      Article
      Accés obert
      Let A/Q be an abelian variety of dimension g = 1 that is isogenous over Q to Eg, where E is an elliptic curve. If E does not have complex multiplication (CM), by results of Ribet and Elkies concerning fields of definition ...
    • 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 Elliptic Stark Conjecture in higher weight 

      Gatti, Francesca; Guitart Morales, Xavier (2020-01-01)
      Article
      Accés obert
      We study the special values of the triple product p-adic L-function constructed by Darmon and Rotger at all classical points outside the region of interpolation. We propose conjectural formulas for these values that can ...
    • On the modularity level of modular abelian varieties over number fields 

      Gonzalez Jimenez, Enrique; Guitart Morales, Xavier (2010-07)
      Article
      Accés obert
      Let f be a weight two newform for Γ1(N) without complex multiplication. In this article we study the conductor of the absolutely simple factors B of the variety A f over certain number fields L. The strategy we follow ...
    • On the rank and the convergence rate toward the Sato-Tate measure 

      Fite Naya, Francesc; Guitart Morales, Xavier (2019-07-13)
      Article
      Accés obert
      Let A be an abelian variety defined over a number field and let G denote its Sato–Tate group. Under the assumption of certain standard conjectures on L -functions attached to the irreducible representations of G, we study ...
    • 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 ...
    • Tipus de reduccions de corbes 

      Guitart Morales, Xavier (Publicacions i Edicions de la Universitat de Barcelona (UB), 2008-01-31)
      Capítol de llibre
      Accés obert