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The equations of Rees algebras of height three Gorenstein ideals in hypersurface rings (2301.06539v1)
Published 16 Jan 2023 in math.AC
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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