Ara es mostren els items 1-13 de 13

    • Determining plane curve singularities from its polars 

      González Alonso, Víctor; Alberich Carramiñana, Maria (2016-01-10)
      Article
      Accés obert
      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)
      Tesi
      Accés obert
      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 ...
    • Multiplicities of jumping points for mixed multiplier ideals 

      Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (Springer, 2019-01-01)
      Article
      Accés obert
      In this paper we make a systematic study of the multiplicity of the jumping points associated to the mixed multiplier ideals of a family of ideals in a complex surface with rational singularities. In particular we study ...
    • Multiplicity and Poincaré series for mixed multiplier ideals 

      Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2018)
      Text en actes de congrés
      Accés restringit per política de l'editorial
    • Multiplicity and Poincaré series for mixed multiplier ideals 

      Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2018-09)
      Article
      Accés obert
    • Poicaré series for mixed multiplier ideals 

      Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran; González Alonso, Víctor (2018)
      Article
      Accés obert
      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
      Accés obert
      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)
      Projecte Final de Màster Oficial
      Accés obert
      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 (2011)
      Article
      Accés restringit per política de l'editorial
      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 (2010-08)
      Report de recerca
      Accés obert
      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 ...
    • When is a complete ideal in a rational surface singularity a multiplier ideal? 

      Alberich Carramiñana, Maria; Álvarez Montaner, Josep; González Alonso, Víctor (Springer-Birkhäuser, 2021)
      Capítol de llibre
      Accés restringit per política de l'editorial
      This is an extended abstract with some of the results that will appear in the forthcoming paper [1] in which we characterize when a given complete ideal in a two-dimensional local ring with a rational singularity can be ...
    • Xiao's conjecture for general fibred surfaces 

      Barja Yáñez, Miguel Ángel; González Alonso, Víctor; Naranjo del Val, Joan Carles (2018-06-01)
      Article
      Accés obert
      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)
      Report de recerca
      Accés obert
      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 ...