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arXiv · 2301.06539

The equations of Rees algebras of height three Gorenstein ideals in hypersurface rings

Matthew Weaver
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Abstract

We study the Rees algebra of a perfect Gorenstein ideal of codimension 3 in a hypersurface ring. We provide a minimal generating set of the defining ideal of these rings by introducing a modified Jacobian dual and applying a recursive algorithm. Once the defining equations are known, we explore properties of these Rees algebras such as Cohen-Macaulayness and Castelnuovo-Mumford regularity.

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Matthew Weaver. 2023-01-16. The equations of Rees algebras of height three Gorenstein ideals in hypersurface rings. https://arxiv.org/abs/2301.06539

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