Now showing items 1-7 of 7

    • A note on a question of Dimca and Greuel 

      Almirón Cuadros, Patricio; Blanco Fernández, Guillem (Elsevier, 2019-01-22)
      Article
      Open Access
      In this note we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and Tjurina numbers of an isolated plane curve singularity in the cases of one Puiseux pair and semi-quasi-homogeneous ...
    • Bernstein-Sato polynomial of plane curves and Yano's conjecture 

      Blanco Fernández, Guillem (Universitat Politècnica de Catalunya, 2020-04-16)
      Doctoral thesis
      Open Access
      The main aim of this thesis is the study of the Bernstein-Sato polynomial of plane curve singularities. In this context, we prove a conjecture posed by Yano about the generic b-exponents of a plane irreducible curve. In ...
    • 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.
    • Effective computation of base points of ideals in two-dimensional local rings 

      Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem (2018-01-04)
      Article
      Open Access
      © 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm ...
    • Effective computation of base points of two-dimensional ideals 

      Blanco Fernández, Guillem (Universitat Politècnica de Catalunya, 2015-10)
      Master thesis
      Open Access
      This works focus on computational aspects of the theory of singularities of plane algebraic curves. We show how to use the Puiseux factorization of a curve, computed through the Newton-Puiseux algorithm, to study the ...
    • Monomial generators of complete planar ideals 

      Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem (2020-01-01)
      Article
      Open Access
      We provide an algorithm that computes a set of generators for any complete ideal in a smooth complex surface. More interestingly, these generators admit a presentation as monomials in a set of maximal contact elements ...
    • Poles of the complex zeta function of a plane curve 

      Blanco Fernández, Guillem (2019-07-09)
      Article
      Open Access