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arXiv · 1512.02720

Trimming a Gorenstein ideal

Lars Winther Christensen·Oana Veliche·Jerzy Weyman
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Abstract

Let Q be a regular local ring of dimension 3. We show how to trim a Gorenstein ideal in Q to obtain an ideal that defines a quotient ring that is close to Gorenstein in the sense that its Koszul homology algebra is a Poincare duality algebra P padded with a non-zero graded vector space on which P_{\ge 1} acts trivially. We explicitly construct an infinite family of such rings.

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Lars Winther Christensen, Oana Veliche, Jerzy Weyman. 2015-12-09. Trimming a Gorenstein ideal. https://arxiv.org/abs/1512.02720

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