Quasi-Gorenstein extended Rees algebras associated with filtrations
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915137103855616 |
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| author | Endo, Naoki |
| author_facet | Endo, Naoki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-Gorenstein extended Rees algebras associated with filtrations Endo, Naoki Commutative Algebra 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. |
| title | Quasi-Gorenstein extended Rees algebras associated with filtrations |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2502.02168 |