Relative Cohen-Macaulayness and relative unmixedness of bigraded modules

Details Relative Cohen-Macaulayness and relative unmixedness of bigraded modules Relative Cohen-Macaulayness and relative unmixedness of bigraded modules

2011-05-16

arxiv.org/abs/1105.3091v1

Mathematics

Commutative Algebra

17 pages

Scientific paper

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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