Exploració per autor "Álvarez Montaner, Josep"
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A Koszul complex over skew polynomial rings
Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2019-01-01)
Article
Accés obertWe 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 -
A note on Bernstein–Sato ideals
Álvarez Montaner, Josep (2022-10-31)
Article
Accés obertWe define the Bernstein–Sato ideal associated to a tuple of ideals and we relate it to the jumping points of the corresponding mixed multiplier ideals. -
A surprising fact about D-modules in characteristic p>0
Álvarez Montaner, Josep; Planas Vilanova, Francesc d'Assís (2004)
Report de recerca
Accés obertLet 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 ... -
Addendum to "Frobenius and Cartier algebras of Stanley-Reisner rings" [J.Algebra 358 (2012), 162-177]
Álvarez Montaner, Josep; Yanagawa, Kohji (2013-05)
Report de recerca
Accés obertWe 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
Accés restringit per política de l'editorialWe give a purely combinatorial characterization of complete Stanley–Reisner rings having a principally generated (equivalently, finitely generated) Cartier algebra. -
Bass numbers of local cohomology of cover ideals of graphs
Álvarez Montaner, Josep; Sohrabi, Fatemeh (2019)
Report de recerca
Accés obertWe develop splitting techniques to study Lyubeznik numbers of cover ideals of graphs which allow us to describe them for large families of graphs including forests, cycles, wheels and cactus graphs. More generally we are ... -
Bass numbers of local cohomology of cover ideals of graphs
Álvarez Montaner, Josep; Sohrabi, Fatemeh (2020)
Article
Accés obertWe develop splitting techniques to study the Lyubeznik numbers of cover ideals of graphs which allow us to describe them for large families of graphs including forests, cycles, wheels and cactus graphs. More generally, we ... -
Bernstein's inequality and holonomicity for certain singular rings
Álvarez Montaner, Josep; Jeffries, Jack; Núñez-Betancourt, Luis; Hernández, Daniel J.; Teixeira, Pedro; Witt, Emily E. (2021)
Report de recerca
Accés obertIn this manuscript we prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly F-regular finitely generated graded ... -
Bernstein-Sato functional equations, v -filtrations, and multiplier ideals of direct summands
Álvarez Montaner, Josep; Hernández, Daniel J.; Jeffries, Jack; Núñez-Betancourt, Luis; Teixeira, Pedro; Witt, Emily E. (2021-01-01)
Article
Accés obertThis paper investigates the existence and properties of a Bernstein– Sato functional equation in nonregular settings. In particular, we construct D-modules in which such formal equations can be studied. The existence of ... -
Bernstein-Sato functional equations, V-filtrations, and multiplier ideals of direct summands
Álvarez Montaner, Josep; Jeffries, Jack; Núñez-Betancourt, Luis (2019)
Report de recerca
Accés obertThis paper investigates the existence and properties of a Bernstein– Sato functional equation in nonregular settings. In particular, we construct D-modules in which such formal equations can be studied. The existence of ... -
Bernstein-Sato polynomials in commutative algebra
Álvarez Montaner, Josep; Jeffries, Jack; Núñez-Betancourt, Luis (Springer Nature, 2022-02-23)
Capítol de llibre
Accés restringit per política de l'editorialThis is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra -
Characteristic cycle of local cohomology modules of monomial ideals II
Álvarez Montaner, Josep (2003)
Article
Accés obert -
Characteristic cycles of local cohomology modules of monomial ideals
Álvarez Montaner, Josep (1998)
Article
Accés obertBy 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
Accés obertFor 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 (Edicions UPC, 2000)
Text en actes de congrés
Accés restringit per política de l'editorialWe study, by using the theory of algebraic D-modules, the local cohomology modules supported on a monomial ideal I of the polynomial ring R = k[x1, . . . , xn], where k is a field of characteristic zero. We compute the ... -
Cohomología local con soporte un ideal monomial (D-módulos y combinatoria)
Álvarez Montaner, Josep (2000)
Article
Accés obertWe 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)
Text en actes de congrés
Accés restringit per política de l'editorialWe 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
Accés obertThe 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
Accés obertWe 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
Álvarez Montaner, Josep; Planas Vilanova, Francesc d'Assís (2021)
Article
Accés obertDivisors 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 ...