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; L., Sorrenti. - 502:(2009), pp. 25-32. (Intervento presentato al convegno Exploratory Workshop on Combinatorial Commutative Algebra and tenutosi a Mangalia nel 29-31 maggio 2008).

Cohen-Macaulay squarefree lexsegment ideals generated in degree 2

BONANZINGA, Vittoria;
2009-01-01

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.
2009
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: https://hdl.handle.net/20.500.12318/14888
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