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dc.contributor.authorÁlvarez Montaner, Josep
dc.contributor.authorBoix, Alberto F.
dc.contributor.authorZarzuela Armengou, Santiago
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-10-27T08:18:28Z
dc.date.available2021-10-01T00:25:53Z
dc.date.issued2020
dc.identifier.citationAlvarez, J.; Boix, A.; Zarzuela, S. On some local cohomology spectral sequences. "International mathematics research notices", 2020, vol. 2020, núm. 19, p. 6197-6293.
dc.identifier.issn1073-7928
dc.identifier.urihttp://hdl.handle.net/2117/330844
dc.description.abstractWe introduce a formalism to produce several families of spectral sequences involving the derived functors of the limit and colimit functors over a finite partially ordered set. The 1st type of spectral sequences involves the left derived functors of the colimit of the direct system that we obtain by applying a family of functors to a single module. For the 2nd type we follow a completely different strategy as we start with the inverse system that we obtain by applying a covariant functor to an inverse system. The spectral sequences involve the right derived functors of the corresponding limit. We also have a version for contravariant functors. In all the introduced spectral sequences we provide sufficient conditions to ensure their degeneration at their 2nd page. As a consequence we obtain some decomposition theorems that greatly generalize the well-known decomposition formula for local cohomology modules of Stanley–Reisner rings given by Hochster.
dc.format.extent97 p.
dc.language.isoeng
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.subject.lcshSpectral sequences (Mathematics)
dc.titleOn some local cohomology spectral sequences
dc.typeArticle
dc.subject.lemacSeqüències espectrals
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.identifier.doi10.1093/imrn/rny186
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://academic.oup.com/imrn/article-abstract/2020/19/6197/5079029?redirectedFrom=fulltext
dc.rights.accessOpen Access
local.identifier.drac27761983
dc.description.versionPostprint (author's final draft)
local.citation.authorAlvarez, J.; Boix, A.; Zarzuela, S.
local.citation.publicationNameInternational mathematics research notices
local.citation.volume2020
local.citation.number19
local.citation.startingPage6197
local.citation.endingPage6293


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