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    • Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps 

      Alberich Carramiñana, Maria; Ferragut Amengual, Antoni Manel; Llibre Saló, Jaume (Elsevier, 2021)
      Article
      Accés obert
      In this paper we study the action of planar birational transformations, also known as plane Cremona maps, on quadratic planar differential systems. We provide geometrical characterizations of when a quadratic system is ...

    • Reconstruction of sampled surfaces with boundary via Morse theory 

      Coltraro, Franco; Amorós Torrent, Jaume; Alberich Carramiñana, Maria; Torras, Carme (European Association for Computer Graphics (Eurographics), 2023)
      Text en actes de congrés
      Accés obert
      We study the perception problem for garments (e.g. a pair of pants) using tools from computational topology: the identification of their geometry and position from point-cloud samples, as obtained e.g. with 3D scanners. ...

    • Recovering the epipolar direction from two affine views of a planar object 

      Alberich Carramiñana, Maria; Alenyà Ribas, Guillem; Andrade-Cetto, Juan; Martinez, Elisa; Torras, Carme (Academic Press, 2008)
      Article
      Accés obert
      The mainstream approach to estimate epipolar geometry from two views requires matching the projections of at least 4 non-coplanar points in the scene, assuming a full projective camera model. Our work deviates from this ...

    • The minimal tjurina number of irreducible germs of plane curve singularities 

      Alberich Carramiñana, Maria; Almirón Cuadros, Patricio; Blanco Fernández, Guillem; Melle Hernández, Alejandro (2021-01-01)
      Article
      Accés obert
      In this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve singularity. This result is based on a closed ...

    • 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 ...

    • Valuations with an infinite limit-depth 

      Alberich Carramiñana, Maria; Guàrdia Rubies, Jordi; Nart Vinyals, Enric; Roé Vallvé, Joaquim (2023-08-08)
      Article
      Accés restringit per política de l'editorial
      We construct a field K and a valuation-algebraic valuation on K[x] , whose underlying Maclane–Vaquié chain consists of an infinite (countable) number of limit augmentations.

    • Valuative trees over valued fields 

      Alberich Carramiñana, Maria; Guàrdia Rubies, Jordi; Nart Vinyals, Enric; Roé Vallvé, Joaquim (Elsevier, 2023-01-15)
      Article
      Accés obert
      For an arbitrary valued field (K, v) and a given extension v(K*) ¿¿ ¿ of ordered groups, we analyze the structure of the tree formed by all ¿-valued extensions of v to the polynomial ring K[x]. As an application, we find ...

    • 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 ...