Abstract
We study the Rees algebra of a perfect Gorenstein ideal of codimension 3 in a hypersurface ring. We provide a minimal generating set for 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.
Citation
Matthew Weaver. "THE EQUATIONS OF REES ALGEBRAS OF HEIGHT THREE GORENSTEIN IDEALS IN HYPERSURFACE RINGS." J. Commut. Algebra 16 (1) 123 - 149, Spring 2024. https://doi.org/10.1216/jca.2024.16.123
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