On the initial Betti numbers
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908792342446080 |
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| author | Asgharzadeh, Mohsen |
| author_facet | Asgharzadeh, Mohsen |
| contents | Let $R$ be a Cohen-Macaulay local ring possessing a canonical module. We compare the initial and terminal Betti numbers of modules in a series of nontrivial cases. We pay special attention to the Betti numbers of the canonical module. Also, we compute $β_0(ω_{\frac{R}{I}})$ in some cases, where $I$ is a product of two ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_10864 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On the initial Betti numbers Asgharzadeh, Mohsen Commutative Algebra Let $R$ be a Cohen-Macaulay local ring possessing a canonical module. We compare the initial and terminal Betti numbers of modules in a series of nontrivial cases. We pay special attention to the Betti numbers of the canonical module. Also, we compute $β_0(ω_{\frac{R}{I}})$ in some cases, where $I$ is a product of two ideals. |
| title | On the initial Betti numbers |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/1912.10864 |