Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor
classification
🧮 math.AC
keywords
complexsimplicialbuchsbaumexpansionassumptionscodimensioncohen-macaulay-nesscomplexes
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In this paper we show that expansion of a Buchsbaum simplicial complex is $CM_t$, for an optimal integer $t\geq 1$. Also, by imposing extra assumptions on a $CM_t$ simplicial complex, we prove that it can be obtained from a Buchsbaum complex.
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