Now showing items 1-20 of 37

• #### Addendum to "Frobenius and Cartier algebras of Stanley-Reisner rings" [J.Algebra 358 (2012), 162-177] ﻿

(2013-05)
External research report
Open Access
We give a purely combinatorial characterization of complete Stanley-Reisner rings having a principally generated (equivalently, nitely generated) Cartier algebra
• #### Addendum to “Frobenius and Cartier algebras of Stanley–Reisner rings” [J. Algebra 358 (2012) 162–177] ﻿

(2014-09)
Article
Restricted access - publisher's policy
We give a purely combinatorial characterization of complete Stanley–Reisner rings having a principally generated (equivalently, finitely generated) Cartier algebra.
• #### A Koszul complex over skew polynomial rings ﻿

(2019-01-01)
Article
Restricted access - publisher's policy
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

(2003)
Article
Open Access
• #### Characteristic cycles of local cohomology modules of monomial ideals ﻿

(1998)
Article
Open Access
By using the theory of D-modules we express the characteristic cycle of a local cohomology module supported on a monomial ideal in terms of conormal bundles relative to a subvariety. As a consequence we can decide when a ...
• #### 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 ...
• #### Cohomología local con soporte un ideal monomial (D-módulos y combinatoria) ﻿

(2000)
Article
Open Access
We study, by using the theory of algebraic $\cD$-modules, the local cohomology modules supported on a monomial ideal $I$ of the polynomial ring $R=k[x_1,\dots,x_n]$, where $k$ is a field of characteristic zero. We compute ...
• #### Computing jumping numbers and multiplier ideals in two-dimensional regular local rings ﻿

(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 ﻿

(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 ...
• #### 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 ...
• #### Effective computation of base points of ideals in two-dimensional local rings ﻿

(2018-01-04)
Article
Restricted access - publisher's policy
© 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm ...
• #### Frobenius and Cartier algebras of Stanley-Reisner rings ﻿

(2011-09)
External research report
Open Access
We study the generation of the Frobenius algebra of the injective hull of a complete Stanley-Reisner ring over a field with positive characteristic. In particular, by extending the ideas used by M. Katzman to give a ...
• #### Frobenius and Cartier algebras of Stanley-Reisner rings ﻿

(2011-05-15)
Article
Restricted access - publisher's policy
We study the generation of the Frobenius algebra of the injective hull of a complete Stanley–Reisner ring over a field with positive characteristic. In particular, by extending the ideas used by M. Katzman to give a ...
• #### Generating functions associated to Frobenius algebras ﻿

(Elsevier, 2019-12-01)
Article
Restricted access - publisher's policy
We introduce a generating function associated to the homogeneous gen-erators of a graded algebra that measures how far is this algebra from being finitelygenerated. For the case of some algebras of Frobenius endomorphisms ...
• #### Generators of D-modules in positive characteristic ﻿

(2004)
Article
Open Access
Let R = k[x1, . . . , xd] or R = k[[x1, . . . , xd]] be either a polynomial or a formal power series ring in a finite number of variables over a field k of characteristic p > 0 and let DR|k be the ring of klinear differential ...
• #### GEOMETRÍA AFÍ I EUCLADIANA ﻿

(Universitat Politècnica de Catalunya, 2017-04-03)
Exam
• #### GEOMETRÍA AFÍ I EUCLADIANA ﻿

(Universitat Politècnica de Catalunya, 2017-06-09)
Exam
• #### GEOMETRÍA AFÍ I EUCLADIANA ﻿

(Universitat Politècnica de Catalunya, 2017-07-05)
Exam
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 ...