Exploració per autor "Darmon, Henri"
Ara es mostren els items 1-9 de 9
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Algorithms for chow-heegner points via iterated integrals
Darmon, Henri; Daub, Michael; Lichtenstein, Sam; Rotger Cerdà, Víctor (2015)
Article
Accés restringit per política de l'editorialLet E/Q be an elliptic curve of conductor N and let f be the weight 2 newform on G0(N) associated to it by modularity. Building on an idea of S. Zhang, an article by Darmon, Rotger, and Sols describes the construction of ... -
Beilinson-Flach elements and Euler systems I: syntomic regulators and p-adic Rankin L-series
Bertolini, Massimo; Darmon, Henri; Rotger Cerdà, Víctor (2015)
Article
Accés obertThis article is the first in a series devoted to the Euler system arising from p-adic families of Beilinson-Flach elements in the first K-group of the product of two modular curves. It relates the image of these elements ... -
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 obertLet 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 ... -
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 obertThis 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 ... -
Elliptic curves of rank two and generalized Kato classes
Darmon, Henri; Rotger Cerdà, Víctor (2016-08-24)
Article
Accés obertHeegner 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. ... -
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 obertThis 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 ... -
Heegner points, Stark-Heegner points and diagonal classes
Bertolini, Massimo; Darmon, Henri; Rotger Cerdà, Víctor; Seveso, Marco Adamo; Venerucci, Rodolfo (2020-02-03)
Llibre
Accés restringit per política de l'editorial -
Overconvergent generalised eigenforms of weight one and class fields of real quadratic fields
Darmon, Henri; Lauder, Alan; Rotger Cerdà, Víctor (2015-10-01)
Article
Accés restringit per política de l'editorialThis article examines the Fourier expansions of certain non-classical p-adic modular forms of weight one: the eponymous generalised eigertforms of the title, so called because they lie in a generalised eigenspace for the ... -
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 obertLet 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 ...