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;
2009-01-01
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.File in questo prodotto:
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