Cohomology of partially ordered sets and local cohomlogy of section rings
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Brun, Morten | |
dc.contributor.author | Bruns, Winfried | |
dc.contributor.author | Roemer, Tim | |
dc.date.accessioned | 2021-12-23T16:09:49Z | - |
dc.date.available | 2021-12-23T16:09:49Z | - |
dc.date.issued | 2007 | |
dc.identifier.issn | 00018708 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/9012 | - |
dc.description.abstract | We study local cohomology of rings of global sections of sheafs on the Alexandrov space of a partially ordered set. We give a criterion for a splitting of the local cohomology groups into summands determined by the cohomology of the poset and the local cohomology of the stalks. The face ring of a rational pointed fan can be considered as the ring of global sections of a flasque sheaf on the face poset of the fan. Thus we obtain a decomposition of the local cohomology of such face rings. Since the Stanley-Reisner ring of a simplicial complex is the face ring of a rational pointed fan, our main result can be interpreted as a generalization of Hochster's decomposition of local cohomology of Stanley-Reisner rings. (c) 2006 Elsevier Inc. All rights reserved. | |
dc.language.iso | en | |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | |
dc.relation.ispartof | ADVANCES IN MATHEMATICS | |
dc.subject | face rings | |
dc.subject | local cohomology | |
dc.subject | Mathematics | |
dc.subject | partially ordered set | |
dc.subject | sections rings | |
dc.title | Cohomology of partially ordered sets and local cohomlogy of section rings | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/j.aim.2006.02.005 | |
dc.identifier.isi | ISI:000242678600006 | |
dc.description.volume | 208 | |
dc.description.issue | 1 | |
dc.description.startpage | 210 | |
dc.description.endpage | 235 | |
dc.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | |
dcterms.isPartOf.abbreviation | Adv. Math. | |
dcterms.oaStatus | Green Submitted, Bronze | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
crisitem.author.netid | RoTi119 | - |
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geprüft am 19.05.2024