Topological Cohen-Macaulay criteria for monomial ideals

Details Topological Cohen-Macaulay criteria for monomial ideals Topological Cohen-Macaulay criteria for monomial ideals

2008-09-09

arxiv.org/abs/0809.1458v1

Mathematics

Commutative Algebra

19 pages, for proceedings of the Conference on Combinatorial Commutative Algebra and Computer Algebra (Mangalia, Romania, May

Scientific paper

Scattered over the past few years have been several occurrences of simplicial complexes whose topological behavior characterize the Cohen-Macaulay property for quotients of polynomial rings by arbitrary (not necessarily squarefree) monomial ideals. The purpose of this survey is to gather the developments into one location, with self-contained proofs, including direct combinatorial topological connections between them.

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