Enviaments recents

  • Stark points and p-adic iterated integrals attached to modular forms of weight one 

    Darmon, Henri; Lauder, Alan; Rotger Cerdà, Víctor (Cambridge University Press, 2015-01-01)
    Article
    Accés obert
    Let be an elliptic curve over , and let and be odd two-dimensional Artin representations for which is self-dual. The progress on modularity achieved in recent decades ensures the existence of normalized eigenforms , , and ...
  • Beilinson-Flach elements and Euler systems II: p-adic families and the Birch and Swinnerton-Dyer conjecture 

    Bertolini, Massimo; Darmon, Henri; Rotger Cerdà, Víctor (2015-03-23)
    Article
    Accés obert
    Let E be an elliptic curve over Q and let % be an odd, irreducible twodimensional Artin representation. This article proves the Birch and Swinnerton-Dyer conjecture in analytic rank zero for the Hasse-WeilArtin L-series ...
  • Gross-Stark units and p-adic iterated integrals attached to modular forms of weight one 

    Darmon, Henri; Lauder, Alan; Rotger Cerdà, Víctor (2016-08-01)
    Article
    Accés obert
    This article can be read as a companion and sequel to the authors’ earlier article on Stark points and p-adic iterated integrals attached to modular forms of weight one, which proposes a conjectural expression for the ...
  • Elliptic curves of rank two and generalized Kato classes 

    Darmon, Henri; Rotger Cerdà, Víctor (2016-08-24)
    Article
    Accés obert
    Heegner points play an outstanding role in the study of the Birch and Swinnerton-Dyer conjecture, providing canonical Mordell–Weil generators whose heights encode first derivatives of the associated Hasse–Weil L-series. ...
  • On the rank and the convergence rate toward the Sato-Tate measure 

    Fite Naya, Francesc; Guitart Morales, Xavier (2017-10-16)
    Article
    Accés restringit per política de l'editorial
    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 ...
  • Stark points and the Hida-Rankin p-adic L-function 

    Casazza, Daniele; Rotger Cerdà, Víctor (2018-02)
    Article
    Accés restringit per política de l'editorial
    This article is devoted to the elliptic Stark conjecture formulated by Darmon (Forum Math Pi 3:e8, 2015), which proposes a formula for the transcendental part of a p-adic avatar of the leading term at s=1 of the Hasse–Weil–Artin ...
  • 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.
  • Diagonal cycles and Euler systems II: the Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin L-functions 

    Darmon, Henri; Rotger Cerdà, Víctor (2017-07-01)
    Article
    Accés restringit per política de l'editorial
    This article establishes new cases of the Birch and Swinnerton-Dyer conjecture in analytic rank 0, for elliptic curves over $ \mathbb{Q}$ viewed over the fields cut out by certain self-dual Artin representations of dimension ...
  • Constraints on the automorphism group of a curve 

    González Rovira, Josep (2017-01-01)
    Article
    Accés obert
    For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-existence of automorphisms of order a power of a rational prime. We show how this criterion can be used to determine the ...
  • Automorphism group of split Cartan modular curves 

    González Rovira, Josep (2016-08-01)
    Article
    Accés obert
  • Functions and differentials on the non-split Cartan modular curve of level 11 

    Fernández González, Julio; González Rovira, Josep (2017-01-01)
    Article
    Accés obert
    The genus 4 modular curve Xns(11) attached to a non-split Cartan group of level 11 admits a model defined over Q. We compute generators for its function field in terms of Siegel modular functions. We also show that its ...
  • 30 anys del Seminari de Teoria de Nombres de Barcelona, STNB 2016 

    Alsina Aubach, Montserrat (Societat Catalana de Matemàtiques (SCM), 2016-07)
    Article
    Accés obert
    Realitzat a/amb:  Universitat de Barcelona

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