Flawlessness of h-vectors of broken circuit complexes

DC FieldValueLanguage
dc.contributor.authorJuhnke-Kubitzke, Martina
dc.contributor.authorDinh Van Le
dc.date.accessioned2021-12-23T16:03:11Z-
dc.date.available2021-12-23T16:03:11Z-
dc.date.issued2018
dc.identifier.issn10737928
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/5853-
dc.description.abstractOne of the major open questions in matroid theory asks whether the h-vector (h(0), h(1), . . . , h(s)) of the broken circuit complex of a matroid M satisfies the following inequalities: h(0) <= h(1) <= . . . <= h([s/2]) and h(i) <= h(s-i) for 0 <= i <= [s/2]. This article affirmatively answers the question for matroids that are representable over a field of characteristic zero.
dc.description.sponsorshipGerman Research Council DFG-GRK [1916]; The first author was supported by the German Research Council DFG-GRK, 1916.
dc.language.isoen
dc.publisherOXFORD UNIV PRESS
dc.relation.ispartofINTERNATIONAL MATHEMATICS RESEARCH NOTICES
dc.subjectALGEBRAS
dc.subjectCOMBINATORICS
dc.subjectG-ELEMENTS
dc.subjectINTERSECTION COHOMOLOGY
dc.subjectMathematics
dc.titleFlawlessness of h-vectors of broken circuit complexes
dc.typejournal article
dc.identifier.doi10.1093/imrn/rnw284
dc.identifier.isiISI:000441654500004
dc.description.volume2018
dc.description.issue5
dc.description.startpage1347
dc.description.endpage1367
dc.identifier.eissn16870247
dc.publisher.placeGREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND
dcterms.isPartOf.abbreviationInt. Math. Res. Notices
dcterms.oaStatusGreen Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidJuMa420-
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