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DC Field | Value | Language |
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dc.contributor.author | Àlvarez Montaner, Josep | - |
dc.contributor.author | Fernandez Boix, Alberto | - |
dc.contributor.author | Zarzuela, Santiago | - |
dc.date.accessioned | 2023-02-13T18:44:42Z | - |
dc.date.available | 2023-02-13T18:44:42Z | - |
dc.date.issued | 2018-08-24 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | http://hdl.handle.net/2445/193547 | - |
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 wellknown decomposition formula for local cohomology modules of Stanley-Reisner rings given by Hochster. | - |
dc.format.extent | 97 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Oxford University Press | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1093/imrn/rny186 | - |
dc.relation.ispartof | International Mathematics Research Notices, 2018, vol. 2020, num. 19, p. 6197-6293 | - |
dc.relation.uri | https://doi.org/10.1093/imrn/rny186 | - |
dc.rights | (c) Àlvarez Montaner, Josep et al., 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Àlgebra homològica | - |
dc.subject.classification | Anells commutatius | - |
dc.subject.classification | Àlgebra commutativa | - |
dc.subject.classification | Successions espectrals (Matemàtica) | - |
dc.subject.classification | Topologia algebraica | - |
dc.subject.other | Homological algebra | - |
dc.subject.other | Commutative rings | - |
dc.subject.other | Commutative algebra | - |
dc.subject.other | Spectral sequences (Mathematics) | - |
dc.subject.other | Algebraic topology | - |
dc.title | On some local cohomology spectral sequences | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 682211 | - |
dc.date.updated | 2023-02-13T18:44:42Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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682211.pdf | 4.64 MB | Adobe PDF | View/Open |
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