Green-Lazarsfeld property $N_p$ for Segre product of Hibi rings
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913580623855616 |
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| author | Veer, Dharm |
| author_facet | Veer, Dharm |
| contents | In this article, we prove that if a Hibi ring satisfies property $N_2$, then its Segre product with a polynomial ring in finitely many variables also satisfies property $N_2$. When the polynomial ring is in two variables, we also prove the above statement for $N_3$. Moreover, we study the minimal Koszul relations of the second syzygy module of Hibi rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_05659 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Green-Lazarsfeld property $N_p$ for Segre product of Hibi rings Veer, Dharm Commutative Algebra 05E40, 13C05, 13D02 In this article, we prove that if a Hibi ring satisfies property $N_2$, then its Segre product with a polynomial ring in finitely many variables also satisfies property $N_2$. When the polynomial ring is in two variables, we also prove the above statement for $N_3$. Moreover, we study the minimal Koszul relations of the second syzygy module of Hibi rings. |
| title | Green-Lazarsfeld property $N_p$ for Segre product of Hibi rings |
| topic | Commutative Algebra 05E40, 13C05, 13D02 |
| url | https://arxiv.org/abs/2305.05659 |