Ara es mostren els items 1-20 de 26

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

(2013-05)
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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
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We give a purely combinatorial characterization of complete Stanley–Reisner rings having a principally generated (equivalently, finitely generated) Cartier algebra.

(2003)
Article
Accés obert
• Characteristic cycles of local cohomology modules of monomial ideals ﻿

(1998)
Article
Accés obert
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
Accés obert
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
Accés obert
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)
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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.
• D-modules, Bernstein-Sato polynomials and F-invariants of direct summands ﻿

(2017-12-01)
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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)
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© 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 ﻿

(2011-05-15)
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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 ﻿

(2011-09)
Report de recerca
Accés obert
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 ...
• Generators of D-modules in positive characteristic ﻿

(2004)
Article
Accés obert
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 ...
• Linearization of local cohomology modules ﻿

(American Mathematical Society, 2003)
Capítol de llibre
Accés obert
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 ...

(2000)
Article
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• Local cohomology supported on monomial ideals ﻿

(2013-09-02)
Article
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• Localizations at hyperplane arrangements: combinatorics and D-modules ﻿

(2004)
Article
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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 ...
• Lyubeznik numbers of local rings and linear strands of graded ideals ﻿

(Springer, 2016)
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We report recent work on the study of Lyubeznik numbers and their relation to invariants coming from the study of linear strands of free resolutions.
• Lyubeznik numbers of local rings and linear strands of graded ideals ﻿

(2014-08)
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n this work we intro duce a new set of invariants asso ciated to the linear strands of a minimal free resolution of a Z -graded ideal I R = | [ x 1 ;:::;x n ] . We also prove that these invariants satisfy ...
• Lyubeznik numbers of monomial ideals ﻿

(2011-09)
Report de recerca
Accés obert
In this work we will study Bass numbers of local cohomology modules supported on a squarefree monomial ideal. Among them we are mainly interested in Lyubeznik numbers. We build a dictionary between these local cohomology ...
• Lyubeznik table of sequentially Cohen-Macaulay rings ﻿

(2015-01-01)
Article
Accés obert
We prove that sequentially Cohen-Macaulay rings in positive characteristic, as well as sequentially Cohen-Macaulay Stanley-Reisner rings in any characteristic, have trivial Lyubeznik table. Some other configurations of ...