Now showing items 1-8 of 8

    • A surprising fact about D-modules in characteristic p>0 

      Álvarez Montaner, Josep; Planas Vilanova, Francesc d'Assís (2004)
      External research report
      Open Access
      Let R = k[x1, . . . , xd] be the polynomial ring in d independent variables, where k is a field of characteristic p > 0. Let DR be the ring of k-linear differential operators of R and let f be a polynomial in R. In this ...
    • Characteristic cycle of local cohomology modules of monomial ideals II 

      Álvarez Montaner, Josep (2003)
      Article
      Open Access
    • Characteristic cycles of localizations: algorithmic approach 

      Álvarez Montaner, Josep; Leykin, Anton (2004)
      Article
      Open Access
      For a polynomial ring R = k[x1, ..., xn], we present an algorithm for computing the characteristic cycle of the localization Rf for any nonzero polynomial f ∈ R. The approach is useful to answer certain questions regarding ...
    • D-modules, Bernstein-Sato polynomials and F-invariants of direct summands 

      Álvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis (2017-12-01)
      Article
      Open Access
      We study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D -modules over R to D -modules over S . We ...
    • Divisors of expected Jacobian type 

      Álvarez Montaner, Josep; Planas Vilanova, Francesc d'Assís (2020)
      External research report
      Open Access
      Divisors whose Jacobian ideal is of linear type have received a lot of attention recently because of its connections with the theory of D-modules. In this work we are interested on divisors of expected Jacobian type, that ...
    • Linearization of local cohomology modules 

      Álvarez Montaner, Josep; Zarzuela Armengou, Santiago (American Mathematical Society, 2003)
      Part of book or chapter of book
      Open Access
      The aim of this work is to describe the linear structure of regular holonomic $\mathcal D$-modules with support a normal crossing with variation zero introduced in [Local cohomology, arrangements of subspaces and monomial ...
    • Operations with regular holonomic D-modules with support a normal crossing 

      Álvarez Montaner, Josep (2003)
      Article
      Open Access
      The aim of this work is to describe some operations in the category of regular holonomic $\cD$-modules with support a normal crossing and variation zero introduced in [J.Alvarez Montaner, R.Garcia Lopez and S.Zarzuela, ...
    • Some numerical invariants of local rings 

      Álvarez Montaner, Josep (2002)
      Article
      Open Access
      Let $R$ be a formal power series ring over a field of characteristic zero and $I\subseteq R$ be any ideal. The aim of this work is to introduce some numerical invariants of the local rings $R/I$ by using theory of ...