Now showing items 1-8 of 8

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

(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 ﻿

(2003)
Article
Open Access
• #### Characteristic cycles of localizations: algorithmic approach ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ...