• 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 ...
  • 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 (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 ...
  • 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 ...
  • 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 ...