An Orlik-Solomon type algebra for matroids with a fixed linear class of circuits

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dc.creatorCordovil, Raul
dc.creatorForge, David
dc.date2005-09-27
dc.date2006-03-01
dc.date.accessioned2026-07-07T06:43:08Z
dc.date.available2026-07-07T06:43:08Z
dc.descriptionA family C of circuits of a matroid M is a linear class if, given a modular pair of circuits in C}, any circuit contained in the union of the pair is also in C. The pair (M,C) can be seen as a matroidal generalization of a biased graph. We introduce and study an Orlik-Solomon type algebra determined by (M,C). If C is the set of all circuits of M this algebra is the Orlik-Solomon algebra of M.
dc.description10 pages. Port. Math. to appear
dc.identifierhttps://arxiv.org/abs/math/0509629
dc.identifierhttp://arxiv.org/abs/math/0509629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102299
dc.subjectCombinatorics
dc.subject05B35; 14F40
dc.titleAn Orlik-Solomon type algebra for matroids with a fixed linear class of circuits
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