Now showing items 1-11 of 11

  • Determining plane curve singularities from its polars 

    González Alonso, Víctor; Alberich Carramiñana, Maria (2016-01-10)
    Article
    Open Access
    This paper addresses a very classical topic that goes back at least to Plücker: how to understand a plane curve singularity using its polar curves. Here, we explicitly construct the singular points of a plane curve singularity ...
  • Hodge numbers of irregular varieties and fibrations 

    González Alonso, Víctor (Universitat Politècnica de Catalunya, 2013-07-08)
    Doctoral thesis
    Open Access
    In this thesis we study the geography of irregular complex projective (or compact Kähler) varieties, paying special attention to the existence of fibrations. The thesis is divided into two parts. In the first one we ...
  • Multiplicity and Poincaré series for mixed multiplier ideals 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2018-09)
    Article
    Open Access
  • Multiplicity and Poincaré series for mixed multiplier ideals 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2018)
    Conference report
    Restricted access - publisher's policy
  • Poicaré series for mixed multiplier ideals 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2018)
    Article
    Open Access
    We present a generalization of the Poincaré series to the case of mixed multiplier ideals. For that, we will recall some results about how we can compute the jumping walls associated to a mixed multiplier ideal and introduce ...
  • Poincare series of multiplier ideals in two-dimensional local rings with rational singularities 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2017-01-02)
    Article
    Open Access
    We study the multiplicity of the jumping numbers of an mm-primary ideal a in a two-dimensional local ring with a rational singularity. The formula we provide for the multiplicities leads to a very simple and efficient ...
  • Polar germs and singularity invariants 

    González Alonso, Víctor (Universitat Politècnica de Catalunya, 2009-07)
    Master thesis
    Open Access
    In this work we obtain an algorithm which explicitly recovers the cluster of singular points a germ of curve from the cluster of base points of the polar germs of the curve. To achieve this, we reinterpret the problem in ...
  • The ultrametric space of plane branches 

    Abío Roig, Ignasi; Alberich Carramiñana, Maria; González Alonso, Víctor (2010-08)
    External research report
    Open Access
    We study properties of the space of irreducible germs of plane curves (branches), seen as an ultrametric space. We provide various geometrical methods to measure the distance between two branches and to compare distances ...
  • The ultrametric space of plane branches 

    Abío Roig, Ignasi; Alberich Carramiñana, Maria; González Alonso, Víctor (2011)
    Article
    Restricted access - publisher's policy
    We study properties of the space of irreducible germs of plane curves (branches), seen as an ultrametric space. We provide various geometrical methods to measure the distance between two branches and to compare distances ...
  • Xiao's conjecture for general fibred surfaces 

    Barja Yáñez, Miguel Ángel; González Alonso, Víctor; Naranjo Del val, Joan Carles (2018-06-01)
    Article
    Open Access
    We prove that the genus g, the relative irregularity qf and the Clifford index cf of a non-isotrivial fibration f satisfy the inequality qf=g-cf. This gives in particular a proof of Xiao’s conjecture for fibrations whose ...
  • Xiao's conjuecture for general fibred surfaces 

    Barja Yáñez, Miguel Ángel; González Alonso, Víctor; Naranjo del Val, Joan Carles (2014-01-10)
    External research report
    Open Access
    We prove that the genus g, the relative irregularity q_f and the Clifford index c_f of a non-isotrivial fibration f satisfy the inequality q_f=g-c_f. This gives in particular a proof of Xiao’s conjecture for fibrations ...