Browsing by Subject "Dmodules"
Now showing items 18 of 8

A surprising fact about Dmodules in characteristic p>0
(2004)
External research report
Open AccessLet 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 klinear differential operators of R and let f be a polynomial in R. In this ... 
Characteristic cycle of local cohomology modules of monomial ideals II
(2003)
Article
Open Access 
Characteristic cycles of localizations: algorithmic approach
(2004)
Article
Open AccessFor 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 ... 
Dmodules, BernsteinSato polynomials and Finvariants of direct summands
(20171201)
Article
Open AccessWe 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
(2020)
External research report
Open AccessDivisors whose Jacobian ideal is of linear type have received a lot of attention recently because of its connections with the theory of Dmodules. In this work we are interested on divisors of expected Jacobian type, that ... 
Linearization of local cohomology modules
(American Mathematical Society, 2003)
Part of book or chapter of book
Open AccessThe 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 Dmodules with support a normal crossing
(2003)
Article
Open AccessThe 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
(2002)
Article
Open AccessLet $R$ 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 ...