Quasi-Gorenstein extended Rees algebras associated with filtrations
Commutative Algebra
2025-02-05 v1
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.
Keywords
Cite
@article{arxiv.2502.02168,
title = {Quasi-Gorenstein extended Rees algebras associated with filtrations},
author = {Naoki Endo},
journal= {arXiv preprint arXiv:2502.02168},
year = {2025}
}
Comments
14 pages