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arXiv · 1112.3064

Duality for Koszul Homology over Gorenstein Rings

Claudia Miller·Hamidreza Rahmati·Janet Striuli
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Abstract

We study Koszul homology over Gorenstein rings. If an ideal is strongly Cohen-Macaulay, the Koszul homology algebra satisfies Poincaré duality. We prove a version of this duality which holds for all ideals and allows us to give two criteria for an ideal to be strongly Cohen-Macaulay. The first can be compared to a result of Hartshorne and Ogus; the second is a generalization of a result of Herzog, Simis, and Vasconcelos using sliding depth.

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Claudia Miller, Hamidreza Rahmati, Janet Striuli. 2011-12-13. Duality for Koszul Homology over Gorenstein Rings. https://arxiv.org/abs/1112.3064

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