Depth Sensitivity of Hilbert Coefficients
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912401719296000 |
|---|---|
| author | Nishida, Koji |
| author_facet | Nishida, Koji |
| contents | The purpose of this paper is to explain about the depth sensitivity of the Hilbert coefficients defined for finitely generated graded modules over graded rings. The main result generalize the well known fact that the Cohen-Macaulayness of graded modules can be characterized using their multiplicities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19597 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Depth Sensitivity of Hilbert Coefficients Nishida, Koji Commutative Algebra Algebraic Geometry 13F20 (Primary) 13A02, 14N05 (Secondary) The purpose of this paper is to explain about the depth sensitivity of the Hilbert coefficients defined for finitely generated graded modules over graded rings. The main result generalize the well known fact that the Cohen-Macaulayness of graded modules can be characterized using their multiplicities. |
| title | Depth Sensitivity of Hilbert Coefficients |
| topic | Commutative Algebra Algebraic Geometry 13F20 (Primary) 13A02, 14N05 (Secondary) |
| url | https://arxiv.org/abs/2504.19597 |