The Cones associated to some Transversal Polymatroids

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dc.creatorStefan, Alin
dc.date2007-05-27
dc.date.accessioned2026-07-07T08:03:21Z
dc.date.available2026-07-07T08:03:21Z
dc.descriptionIn this paper we describe the facets cone associated to transversal polymatroid presented by $\mathcal{A} = \{\{1,2\},\{2,3\},...,\{n-1,n\},\{n,1\}\}.$ Using the Danilov-Stanley theorem to characterize the canonicale module, we deduce that the base ring associated to this polymatroid is Gorenstein ring. Also, starting from this polymatroid we describe the transversal polymatroids with Gorenstein base ring in dimension 3 and with the help $\it Normaliz$ in dimension 4.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0705.3954
dc.identifierhttp://arxiv.org/abs/0705.3954
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129550
dc.subjectCommutative Algebra
dc.subject05C50,13A30
dc.titleThe Cones associated to some Transversal Polymatroids
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