Browsing by Author "Álvarez Montaner, Josep"

Addendum to "Frobenius and Cartier algebras of StanleyReisner rings" [J.Algebra 358 (2012), 162177]
Álvarez Montaner, Josep; Yanagawa, Kohji (201305)
External research report
Open AccessWe give a purely combinatorial characterization of complete StanleyReisner 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]
Álvarez Montaner, Josep; Yanagawa, Kohji (201409)
Article
Restricted access  publisher's policyWe 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
Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (20190101)
Article
Restricted access  publisher's policyWe 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 
Characteristic cycle of local cohomology modules of monomial ideals II
Álvarez Montaner, Josep (2003)
Article
Open Access 
Characteristic cycles of local cohomology modules of monomial ideals
Álvarez Montaner, Josep (1998)
Article
Open AccessBy using the theory of Dmodules 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
Álvarez Montaner, Josep; Leykin, Anton (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 ... 
Cohomología local con soporte un ideal monomial (Dmódulos y combinatoria)
Álvarez Montaner, Josep (2000)
Article
Open AccessWe 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 twodimensional regular local rings
Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran (Universitat de Barcelona. Edicions i Publicacions, 2014)
Conference report
Restricted access  publisher's policyWe give a new algorithm that computes the jumping numbers with their multiplicities and multiplier ideals of any ideal in a regular twodimensional local ring. 
Constancy regions of mixed multiplier ideals in twodimensional local rings with rational singularities
Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran (WILEYVCH Verlag GmbH & Co. KGaA, Weinheim, 2018)
Article
Open AccessThe aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a twodimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given ... 
Dmodules, BernsteinSato polynomials and Finvariants of direct summands
Álvarez Montaner, Josep; Huneke, Craig; NúñezBetancourt, Luis (20171201)
Article
Restricted access  publisher's policyWe 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 twodimensional local rings
Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem (20180104)
Article
Restricted access  publisher's policy© 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal logresolution of an ideal in a smooth complex surface from the minimal logresolution of its generators. In order to make this algorithm ... 
Frobenius and Cartier algebras of StanleyReisner rings
Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (201109)
External research report
Open AccessWe study the generation of the Frobenius algebra of the injective hull of a complete StanleyReisner 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 StanleyReisner rings
Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (20110515)
Article
Restricted access  publisher's policyWe 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 Dmodules in positive characteristic
Álvarez Montaner, Josep; Blickle, Manuel; Lyubeznik, Gennady (2004)
Article
Open AccessLet 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 DRk be the ring of klinear differential ... 
Linearization of local cohomology modules
Álvarez Montaner, Josep; Zarzuela Armengou, Santiago (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 ... 
Local cohomology, arrangement of subspaces and monomial ideals
Álvarez Montaner, Josep; García López, Ricardo; Zarzuela Armengou, Santiago (2000)
Article
Open Access 
Local cohomology supported on monomial ideals
Álvarez Montaner, Josep (20130902)
Article
Restricted access  publisher's policy 
Localizations at hyperplane arrangements: combinatorics and Dmodules
Álvarez Montaner, Josep; Jiménez, Francisco Jesús Castro; Enríquez, José María Ucha (2004)
Article
Open AccessWe 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
Álvarez Montaner, Josep (Springer, 2016)
Conference report
Restricted access  publisher's policyWe 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
Álvarez Montaner, Josep (20180901)
Article
Open AccessIn this work, we introduce a new set of invariants associated to the linear strands of a minimal free resolution of a graded ideal . We also prove that these invariants satisfy some properties analogous to those of Lyubeznik ...