• Determining plane curve singularities from its polars 

    González Alonso, Víctor; Alberich Carramiñana, Maria (2016-01-10)
    Article
    Accés restringit per política de l'editorial
    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 ...
  • 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 ...