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On some local cohomology spectral sequences
dc.contributor.author | Álvarez Montaner, Josep |
dc.contributor.author | Boix, Alberto F. |
dc.contributor.author | Zarzuela Armengou, Santiago |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-10-27T08:18:28Z |
dc.date.available | 2021-10-01T00:25:53Z |
dc.date.issued | 2020 |
dc.identifier.citation | Alvarez, 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.issn | 1073-7928 |
dc.identifier.uri | http://hdl.handle.net/2117/330844 |
dc.description.abstract | We 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.extent | 97 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Spectral sequences (Mathematics) |
dc.title | On some local cohomology spectral sequences |
dc.type | Article |
dc.subject.lemac | Seqüències espectrals |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.1093/imrn/rny186 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://academic.oup.com/imrn/article-abstract/2020/19/6197/5079029?redirectedFrom=fulltext |
dc.rights.access | Open Access |
local.identifier.drac | 27761983 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Alvarez, J.; Boix, A.; Zarzuela, S. |
local.citation.publicationName | International mathematics research notices |
local.citation.volume | 2020 |
local.citation.number | 19 |
local.citation.startingPage | 6197 |
local.citation.endingPage | 6293 |
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