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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
