A Broken Circuit Ring

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dc.creatorProudfoot, Nicholas J.
dc.creatorSpeyer, David E.
dc.date2004-10-05
dc.date2006-05-05
dc.date.accessioned2026-07-07T06:38:53Z
dc.date.available2026-07-07T06:38:53Z
dc.descriptionGiven a matroid M represented by a linear subspace L in n-space (equivalently by an arrangement of n hyperplanes in L), we define a graded ring R(L) which degenerates to the Stanley-Reisner ring of the broken circuit complex for any choice of ordering of the ground set. In particular, R(L) is Cohen-Macaulay, and may be used to compute the h-vector of the broken circuit complex of M. We give a geometric interpretation of Spec R(L), as well as a stratification indexed by the flats of M.
dc.descriptionTypos corrected. To appear in Beitrage zur Algebra und Geometrie
dc.identifierhttps://arxiv.org/abs/math/0410069
dc.identifierhttp://arxiv.org/abs/math/0410069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100896
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subject52C35
dc.titleA Broken Circuit Ring
dc.typetext

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