Defining ideals of Cohen-Macaulay fiber cones
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909212188082176 |
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| author | Abdolmaleki, Reza Kumashiro, Shinya |
| author_facet | Abdolmaleki, Reza Kumashiro, Shinya |
| contents | Let $A$ be a commutative Noetherian local ring with maximal ideal $\mathfrak{m}$, and let $I$ be an ideal. The fiber cone is then an image of the polynomial ring over the residue field $A/\mathfrak{m}$. The kernel of this map is called the defining ideal, and it is natural to ask how to compute it. In this paper, we provide a construction for the defining ideals of Cohen-Macaulay fiber cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Defining ideals of Cohen-Macaulay fiber cones Abdolmaleki, Reza Kumashiro, Shinya Commutative Algebra Let $A$ be a commutative Noetherian local ring with maximal ideal $\mathfrak{m}$, and let $I$ be an ideal. The fiber cone is then an image of the polynomial ring over the residue field $A/\mathfrak{m}$. The kernel of this map is called the defining ideal, and it is natural to ask how to compute it. In this paper, we provide a construction for the defining ideals of Cohen-Macaulay fiber cones. |
| title | Defining ideals of Cohen-Macaulay fiber cones |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2405.18041 |