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arXiv · 0809.1458

Topological Cohen-Macaulay criteria for monomial ideals

Ezra Miller
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Abstract

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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Ezra Miller. 2008-09-09. Topological Cohen-Macaulay criteria for monomial ideals. https://arxiv.org/abs/0809.1458

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