Cohen-Macaulay and Gorenstein complexes from a topological point of view

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dc.creatorNotbohm, Dietrich
dc.date2005-08-16
dc.date.accessioned2026-07-07T05:22:24Z
dc.date.available2026-07-07T05:22:24Z
dc.descriptionThe main invariant to study the combinatorics of a simplicial complex $K$ is the associated face ring or Stanley-Reisner algebra. Reisner respectively Stanley explained in which sense Cohen-Macaulay and Gorenstein properties of the face ring are reflected by geometric and/or combinatoric properties of the simplicial complex. We give a new proof for these result by homotopy theoretic methods and constructions. Our approach is based on ideas used very successfully in the analysis of the homotopy theory of classifying spaces.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0508292
dc.identifierhttp://arxiv.org/abs/math/0508292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76049
dc.subjectAlgebraic Topology
dc.subjectCommutative Algebra
dc.subject13F55 (primary) 55R35 (secondary
dc.titleCohen-Macaulay and Gorenstein complexes from a topological point of view
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