We characterize a certain class of Cohen-Macaulay simplicial complexes. This class is associated to lexsegment ideals. For the considered class, we nd when a simplicial complex is Buchsbaum and not Cohen-Macaulay. As applications we show that all simplicial complexes, Buchsbaum and not Cohen-Macaulay associated to this class have a linear resolution, and we determine some classes of unmixed Stanley-Reisner ideals.

Cohen-Macaulay squarefree lexsegment ideals generated in degree 2

BONANZINGA, Vittoria;
2009

Abstract

We characterize a certain class of Cohen-Macaulay simplicial complexes. This class is associated to lexsegment ideals. For the considered class, we nd when a simplicial complex is Buchsbaum and not Cohen-Macaulay. As applications we show that all simplicial complexes, Buchsbaum and not Cohen-Macaulay associated to this class have a linear resolution, and we determine some classes of unmixed Stanley-Reisner ideals.
978-0-8218-4758-9
Stanley-Reisner ring; Cohen-Macaulay simplicial complex; Buchsbaum simplicial complex
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/14888
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