Now showing items 1-11 of 11

  • Computing jumping numbers and multiplier ideals in two-dimensional regular local rings 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran (Universitat de Barcelona. Edicions i Publicacions, 2014)
    Conference report
    Restricted access - publisher's policy
    We give a new algorithm that computes the jumping numbers with their multiplicities and multiplier ideals of any ideal in a regular two-dimensional local ring.
  • Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2018)
    Article
    Open Access
    The aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given ...
  • ImaginaryBCN: cuaderno de seguimiento 

    Alberich Carramiñana, Maria; Buendia Bordera, Jordi; Dachs Cadefau, Ferran; Sabater Montaner, Anna; Sánchez Díaz, Emilio José (2012)
    Other
    Open Access
    Guia didàctica de l'exposició Imaginary/BCN. La mirada matemàtica, les arts i el patrimoni. Barcelona, del 17 de març al 6 de maig de 2012
  • 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
    Restricted access - publisher's policy
    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)
    Conference report
    Restricted access - publisher's policy
  • 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
  • Multiplier ideals in two-dimensional local rings with rational singularities 

    Dachs Cadefau, Ferran (Universitat Politècnica de Catalunya, 2016-06-13)
    Doctoral thesis
    Open Access
    Covenantee:  Katholieke Universiteit te Leuven
    The aim of this memoir is to study multiplier ideals in two-dimensional local rings having at worst rational singularities. We also want to extend this study to the case of mixed multiplier ideals. The main achievements ...
  • Multiplier ideals in two-dimensional local rings with rational singularities 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran (2016)
    Article
    Restricted access - publisher's policy
    The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-dimensional local ring with a rational singularity. In particular we reveal which information encoded in a multiplier ideal ...
  • Multiplier ideals of plane curves 

    Dachs Cadefau, Ferran (Universitat Politècnica de Catalunya, 2012-10)
    Master thesis
    Restricted access - author's decision
    Multiplier ideals and their corresponding jumping numbers have been revealed as a fundamental tool to measure the singularity of plane curves. There are approaches to these objects from both Commutative Algebra and Algebraic ...
  • 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 ...