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dc.contributor.authorÁlvarez Montaner, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-01-15T11:29:22Z
dc.date.issued2000
dc.identifier.citationAlvarez, J. Cohomología local con soporte un ideal monomial (D-módulos y combinatoria). A: Encuentro de Álgebra Computacional y Aplicaciones. "Actas del 6º Encuentro de Álgebra Computacional y Aplicaciones (EACA 2000): Barcelona, España: Septiembre 6-8, 2000". Edicions UPC, 2000, p. 91-102. ISBN 84-699-3037-0.
dc.identifier.isbn84-699-3037-0
dc.identifier.other
dc.identifier.urihttp://hdl.handle.net/2117/335396
dc.description.abstractWe 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 characteristic cycle of Hr I (R) and H p P(Hr I (R)), where P is an homogeneous prime ideal of R. By using these results we can describe the support of these modules, in particular we can decide when the local cohomology module Hr I (R) vanishes in terms of the minimal primary decomposition of the monomial ideal I, compute the Bass numbers of Hr I (R) and describe its associated primes. The characteristic cycles also give some invariants of the ring R/I. We use these invariants to compute the Hilbert function of R/I, the minimal free resolutions of squarefree monomial ideals and the cohomology groups of the complement of an arrangement of linear varieties given by the monomial ideal I. Finally, we determine the local cohomology modules by using the category introduced by Galligo-GrangerMaisonobe [3] and compute its Hilbert function.
dc.format.extent12 p.
dc.language.isospa
dc.publisherEdicions UPC
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject.lcshAlgebra, Abstract
dc.subject.lcshAlgebra
dc.titleCohomología local con soporte un ideal monomial (D-módulos y combinatoria)
dc.typeConference report
dc.subject.lemacÀlgebra
dc.subject.lemacÀlgebra abstracta
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac30074432
dc.description.versionPostprint (author's final draft)
dc.date.lift10000-01-01
local.citation.authorAlvarez, J.
local.citation.contributorEncuentro de Álgebra Computacional y Aplicaciones
local.citation.publicationNameActas del 6º Encuentro de Álgebra Computacional y Aplicaciones (EACA 2000): Barcelona, España: Septiembre 6-8, 2000
local.citation.startingPage91
local.citation.endingPage102


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