Extremal Betti numbers of certain two-dimensional monomial ideals
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918160189358080 |
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| author | Loc, Nguyen Quang Minh, Nguyen Cong Thuy, Phan Thi |
| author_facet | Loc, Nguyen Quang Minh, Nguyen Cong Thuy, Phan Thi |
| contents | In this paper, we shall provide explicit formulas for the extremal Betti numbers of $R/I$, where $I$ is the defining ideal of certain weighted hyperplanes in $\Bbb{P}^{n-1}$ and $R$ is the polynomial ring in $n$ indeterminates over a field. As a consequence, we completely classify such ideals which are pseudo-Gorenstein as in sense of V. Ene, J. Herzog, T. Hibi and S. S. Madani. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12149 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extremal Betti numbers of certain two-dimensional monomial ideals Loc, Nguyen Quang Minh, Nguyen Cong Thuy, Phan Thi Commutative Algebra In this paper, we shall provide explicit formulas for the extremal Betti numbers of $R/I$, where $I$ is the defining ideal of certain weighted hyperplanes in $\Bbb{P}^{n-1}$ and $R$ is the polynomial ring in $n$ indeterminates over a field. As a consequence, we completely classify such ideals which are pseudo-Gorenstein as in sense of V. Ene, J. Herzog, T. Hibi and S. S. Madani. |
| title | Extremal Betti numbers of certain two-dimensional monomial ideals |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2510.12149 |