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Abstract: Scattered over the past few years have been several occurrences of simplicialcomplexes whose topological behavior characterize the Cohen-Macaulay propertyfor quotients of polynomial rings by arbitrary not necessarily squarefreemonomial ideals. The purpose of this survey is to gather the developments intoone location, with self-contained proofs, including direct combinatorialtopological connections between them.



Author: Ezra Miller

Source: https://arxiv.org/







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