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arXiv · 2502.02168

Quasi-Gorenstein extended Rees algebras associated with filtrations

Naoki Endo
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Abstract

This paper investigates the quasi-Gorenstein property of extended Rees algebras associated with the Hilbert filtrations on a Noetherian local ring. We provide necessary and sufficient conditions for the deformation of the quasi-Gorenstein property, characterized by the Cohen-Macaulayness of the Matlis dual of local cohomology modules. As a consequence, we offer a characterization of the quasi-Gorenstein property of extended Rees algebras in terms of conditions on the length of local cohomology.

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Naoki Endo. 2025-02-04. Quasi-Gorenstein extended Rees algebras associated with filtrations. https://arxiv.org/abs/2502.02168

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