dc.contributor.author
Brehm, William
dc.contributor.author
Constantinescu, Alexandru
dc.date.accessioned
2024-03-13T07:41:44Z
dc.date.available
2024-03-13T07:41:44Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/42774
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-42490
dc.description.abstract
We find a combinatorial formula which computes the first cotangent cohomology module of Stanley–Reisner rings associated to matroids. For arbitrary simplicial complexes we provide upper bounds for the dimensions of the multigraded components of T1. For specific degrees we prove that these bounds are reached if and only if the simplicial complex is a matroid, obtaining thus a new characterization for matroids. Furthermore, the graded first cotangent cohomology turns out to be a complete invariant for nondiscrete matroids.
en
dc.format.extent
19 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
cotangent cohomology
en
dc.subject
Stanley–Reisner ring
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
The first cotangent cohomology module for matroids
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.4171/jca/73
dcterms.bibliographicCitation.journaltitle
Journal of Combinatorial Algebra
dcterms.bibliographicCitation.number
3/4
dcterms.bibliographicCitation.pagestart
327
dcterms.bibliographicCitation.pageend
345
dcterms.bibliographicCitation.volume
7
dcterms.bibliographicCitation.url
https://doi.org/10.4171/jca/73
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
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refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2415-6310
refubium.resourceType.provider
WoS-Alert