• A Koszul complex over skew polynomial rings 

      Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2019-01-01)
      Article
      Accés obert
      We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence
    • Bernstein–Sato theory for determinantal ideals in positive characteristic 

      López Sancha, Pedro (Universitat Politècnica de Catalunya, 2023-05-24)
      Treball Final de Grau
      Accés obert
      Realitzat a/amb:   University of Utah
      Sigui R un anell de polinomis sobre un cos k. Una varietat algebraica sobre k és un conjunt de punts on s'anul·len alguns polinomis de R. Amb la finalitat d'estudiar aquestes varietats i les seves singularitats, una pràctica ...
    • Local cohomology, arrangement of subspaces and monomial ideals 

      Álvarez Montaner, Josep; García López, Ricardo; Zarzuela Armengou, Santiago (2000)
      Article
      Accés obert
    • Localizations at hyperplane arrangements: combinatorics and D-modules 

      Álvarez Montaner, Josep; Jiménez, Francisco Jesús Castro; Enríquez, José María Ucha (2004)
      Article
      Accés obert
      We describe an algorithm deciding if the annihilating ideal of the meromorphic function 1 f , where f = 0 defines an arrangement of hyperplanes, is generated by linear differential operators of order 1. The algorithm is ...
    • Versal deformations in generalized flag manifolds 

      Puerta Coll, Xavier (2004)
      Article
      Accés obert
      We find explicit miniversal deformations of flags in the generalized flag manifolds, with regard a natural equivalence relation defined by the group action that keeps fixed the reference flag.