Browsing by Author "Álvarez Montaner, Josep"
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Addendum to "Frobenius and Cartier algebras of Stanley-Reisner rings" [J.Algebra 358 (2012), 162-177]
Álvarez Montaner, Josep; Yanagawa, Kohji (2013-05)
External research report
Open AccessWe 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]
Álvarez Montaner, Josep; Yanagawa, Kohji (2014-09)
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 (2019-01-01)
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 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
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 (D-módulos 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 two-dimensional 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 two-dimensional local ring. -
Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities
Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Dachs Cadefau, Ferran (WILEY-VCH 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 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
Álvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis (2017-12-01)
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 ... -
Effective computation of base points of ideals in two-dimensional local rings
Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem (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
Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2011-09)
External research report
Open AccessWe 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
Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2011-05-15)
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 ... -
Generating functions associated to Frobenius algebras
Álvarez Montaner, Josep (Elsevier, 2019-12-01)
Article
Restricted access - publisher's policyWe 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
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 DR|k be the ring of klinear differential ... -
GEOMETRÍA AFÍ I EUCLADIANA
Álvarez Montaner, Josep (Universitat Politècnica de Catalunya, 2017-04-03)
Exam
Restricted access to the UPC academic community -
GEOMETRÍA AFÍ I EUCLADIANA
Álvarez Montaner, Josep (Universitat Politècnica de Catalunya, 2017-06-09)
Exam
Restricted access to the UPC academic community -
GEOMETRÍA AFÍ I EUCLADIANA
Álvarez Montaner, Josep (Universitat Politècnica de Catalunya, 2017-07-05)
Exam
Restricted access to the UPC academic community -
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