Now showing items 1-9 of 9

  • Arithmetic properties of non-hyperelliptic genus 3 curves 

    Lorenzo García, Elisa (Universitat Politècnica de Catalunya, 2014-09-10)
    Doctoral thesis
    Open Access
    This thesis explores the explicit computation of twists of curves. We develope an algorithm for computing the twists of a given curve assuming that its automorphism group is known. And in the particular case in which the ...
  • Corbes el·líptiques i nombres congrus 

    Blanco Fernández, Guillem (Universitat Politècnica de Catalunya, 2014-07)
    Bachelor thesis
    Open Access
    En aquest treball s'estudia el problema dels nombres congrus fent servir la teoria moderna de corbes el·líptiques.
  • Equidistribution in number fields 

    Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2013-07)
    Bachelor thesis
    Open Access
    The aim of this project is to address prime number distribution in two different situations: arithmetic progressions, by studying Dirichlet's theorem, and Galois extensions, through Chebotarev's theorem. After some ...
  • Graficando curvas con Javascript 

    Pina Roca, Salvador (Universitat Politècnica de Catalunya, 2016-12)
    Bachelor thesis
    Open Access
  • Museization of Steiner's 10 Questions on the complete quadrilateral 

    Alemany Flos, Joan (Universitat Politècnica de Catalunya, 2019-07)
    Master thesis
    Open Access
    Mathematics are underrepresented in Science and Technology museums. Using Steiner s 10 theorems on the complete quadrilateral as a common trail, the purpose of this paper has been to create an exhibit to illustrate what ...
  • Relative ideal discriminant on Kummer extensions 

    Tapia Gonzalez, Xavier (Universitat Politècnica de Catalunya, 2016-07)
    Master thesis
    Restricted access - author's decision
    S'exposa la teoria bàsica de ideals discriminants realtius sobre extensions de cossos i la teoria bàsica de extensions de Kummer. Es calculen alguns exemples de ideals discriminants realtius per a extensions cícliques de ...
  • The Sato -Tate conjecture for a picard curve with complex multiplication 

    Somoza Henares, Anna (Universitat Politècnica de Catalunya, 2014-06)
    Master thesis
    Open Access
    Let C/Q be the genus 3 Picard curve given by the affine model y^3=x^4-x. In this Master thesis we compute its Sato-Tate group, show the generalized Sato-Tate conjecture for C, and compute the statistical moments for the ...
  • The Selberg Trace Formula 

    Aparicio Estrems, Guillermo (Universitat Politècnica de Catalunya, 2016-07)
    Bachelor thesis
    Open Access
    This thesis presents a connection between Spectral Theory (in particular, the spectrum of the Laplace-Beltrami operator) and Riemannian geometry (in particular, the geometry of a symmetric three-dimensional space of constant ...
  • Torcimiento de cuárticas planas lisas 

    Lorenzo García, Elisa (Universitat Politècnica de Catalunya, 2010-10)
    Master thesis
    Open Access
    En este trabajo se determinan los twists de las cuárticas planas lisas, es decir, de las curvas lisas no hiperelípticas de género 3. Se parte de una clasificación de Henn de las cuárticas planas y sus grupos de automorfismos ...