Exploració per tema "Classificació AMS::14 Algebraic geometry::14G Arithmetic problems. Diophantine geometry"

Ara es mostren els items 1-16 de 16

    • 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'editorial
      Let 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 ...

    • 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, ...

    • Connecting three sequences 

      Díaz Barrero, José Luis; Plaza, Angel (The Mathematical Association of America, 2015-05)
      Article
      Accés restringit per decisió de l'autor

    • 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. ...

    • Galois theory for schemes 

      Velasco Falguera, Oriol (Universitat Politècnica de Catalunya, 2021-05-27)
      Treball Final de Grau
      Accés obert
      Realitzat a/amb:   Concordia University
      En aquest treball presentem la construcció del grup fonamental étale per esquemes connexos. Usant el formalisme de Categories de Galois, demostrem que, donat un esquema connex X, existeix un grup profinit (el grup fonamental ...

    • Greenberg’s methods on the Iwasawa theory for Elliptic Curves 

      Torres Camps, Aleix (Universitat Politècnica de Catalunya, 2023-05-30)
      Treball Final de Grau
      Accés obert
      Realitzat a/amb:   University of California, Santa Barbara
      Aquesta tesi pretén descriure alguns dels mètodes introduïts per Ralph Greenberg per a l'estudi de la teoria d'Iwasawa per a Corbes El·líptiques. Aquests mètodes s'inspiren en idees presentades per Kenkichi Iwasawa en el ...

    • Higher dimensional essential minima and equidistribution of cycles 

      Gualdi, Roberto; Martínez, César (2022-09-12)
      Article
      Accés obert
      The essential minimum and equidistribution of small points are two well-established interrelated subjects in arithmetic geometry. However, there is lack of an analogue of essential minimum dealing with higher dimensional ...

    • Holder's inequality revisited 

      Díaz Barrero, José Luis (2015-07)
      Article
      Accés restringit per política de l'editorial

    • L-invariants and Darmon cycles attached to higher weight modular forms 

      Rotger Cerdà, Víctor; Seveso, Marco (2012)
      Article
      Accés obert
      Let f be a modular eigenform of even weight k=2 and new at a prime p dividing exactly the level with respect to an indefinite quaternion algebra. The theory of Fontaine-Mazur allows to attach to f a monodromy module DFMf ...

    • Numerical equivalence of R-divisors and Shioda-Tate formula for arithmetic varieties 

      Dolce, Paolo; Gualdi, Roberto (2022-01-27)
      Article
      Accés obert
      Let X be an arithmetic variety over the ring of integers of a number field K, with smooth generic fiber X K . We give a formula that relates the dimension of the first Arakelov–Chow vector space of X with the Mordell–Weil ...

    • On rigid analytic uniformizations of Jacobians of Shimura curves 

      Longo, Matteo; Rotger Cerdà, Víctor; Vigni, Stefano (2012)
      Article
      Accés obert
      The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric quotient of the Jacobian of a Shimura curve over Q at a prime dividing exactly the level. This result can be viewed ...

    • 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 ...

    • Problem 3930: a Cauchy-Jensen's inquality 

      Díaz Barrero, José Luis (2015-03)
      Article
      Accés restringit per decisió de l'autor

    • Some inequalities for the triangle 

      Gibergans Bàguena, José; Díaz Barrero, José Luis (2015-07)
      Article
      Accés restringit per decisió de l'autor

    • Special values of L-functions and the arithmetic of Darmon points 

      Longo, Matteo; Rotger Cerdà, Víctor; Vigni, Stefano (2013)
      Article
      Accés obert
      Building on our previous work on rigid analytic uniformizations, we introduce Darmon points on Jacobians of Shimura curves attached to quaternion algebras over and formulate conjectures about their rationality properties. ...

    • The Shimura covering of a Shimura curve: automorphisms and étale subcoverings 

      Vera Piquero, Carlos de (2013-10)
      Article
      Accés restringit per política de l'editorial
      Let XDXD be the Shimura curve associated with an indefinite rational quaternion algebra of discriminant D, and let p be a prime dividing D. In their investigations on the arithmetic of XD, Jordan and Skorobogatov introduced ...