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arXiv · 1306.2523

Artinian Gorenstein algebras with linear resolutions

Sabine El Khoury·Andrew R. Kustin
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Abstract

Fix a pair of positive integers d and n. We create a ring R and a complex G of R-modules with the following universal property. Let P be a polynomial ring in d variables over a field and let I be a grade d Gorenstein ideal in P which is generated by homogeneous forms of degree n. If the resolution of P/I by free P-modules is linear, then there exists a ring homomorphism from R to P such that P tensor G is a minimal homogeneous resolution of P/I by free P-modules. Our construction is coordinate free.

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Sabine El Khoury, Andrew R. Kustin. 2013-06-11. Artinian Gorenstein algebras with linear resolutions. https://arxiv.org/abs/1306.2523

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