Almost Complete Intersections: Regularity of powers and Rees algebra
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929608114307072 |
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| author | Kumar, Neeraj Venugopal, Chitra |
| author_facet | Kumar, Neeraj Venugopal, Chitra |
| contents | An almost complete intersection ideal can be seen as a $d$-sequence ideal with the minimal number of generators being one more than its height. In this paper, we give exact formulas for the regularity of powers of graded almost complete intersection ideals satisfying certain conditions. We also present the minimal bigraded free resolutions of Rees algebras associated with linear type ideals having one generator more than their grade and study the properties of Cohen-Macaulayness, Koszulness associated to their diagonals. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_15844 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost Complete Intersections: Regularity of powers and Rees algebra Kumar, Neeraj Venugopal, Chitra Commutative Algebra 13D02, 13J30, 13C05, 13H10 An almost complete intersection ideal can be seen as a $d$-sequence ideal with the minimal number of generators being one more than its height. In this paper, we give exact formulas for the regularity of powers of graded almost complete intersection ideals satisfying certain conditions. We also present the minimal bigraded free resolutions of Rees algebras associated with linear type ideals having one generator more than their grade and study the properties of Cohen-Macaulayness, Koszulness associated to their diagonals. |
| title | Almost Complete Intersections: Regularity of powers and Rees algebra |
| topic | Commutative Algebra 13D02, 13J30, 13C05, 13H10 |
| url | https://arxiv.org/abs/2403.15844 |