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arxiv: 1105.3091 · v1 · pith:WLHO6R3Znew · submitted 2011-05-16 · 🧮 math.AC · math.AG

Relative Cohen-Macaulayness and relative unmixedness of bigraded modules

classification 🧮 math.AC math.AG
keywords bigradedrelativecohen-macaulaymodulescohen-macaulaynesscomplexesconsideredcriterion
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In this paper we study the finitely generated bigraded modules over a standard bigraded polynomial ring which are relative Cohen-Macaulay or relative unmixed with respect to one of the irrelevant bigraded ideals. A generalization of Reisner's criterion for Cohen-Macaulay simplicial complexes is considered.

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