Regularity of linearly presented squarefree monomial ideals
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910488969871360 |
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| author | Dao, Hailong Vu, Thanh |
| author_facet | Dao, Hailong Vu, Thanh |
| contents | We prove a sharp bound for the regularity of a squarefree monomial ideal with a linear presentation. This result also answers in positive a question on the cohomological dimension of squarefree monomial ideals satisfying Serre's $S_2$-condition proposed by Dao and Takagi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10595 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of linearly presented squarefree monomial ideals Dao, Hailong Vu, Thanh Commutative Algebra We prove a sharp bound for the regularity of a squarefree monomial ideal with a linear presentation. This result also answers in positive a question on the cohomological dimension of squarefree monomial ideals satisfying Serre's $S_2$-condition proposed by Dao and Takagi. |
| title | Regularity of linearly presented squarefree monomial ideals |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2406.10595 |