Componentwise linear syzygies and good almost regular sequences
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916664779472896 |
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| author | Isogawa, Satoru |
| author_facet | Isogawa, Satoru |
| contents | In this paper, we introduce the notion of $γ$-regular sequences to characterize the property that graded modules have componentwise linear syzygies. This extends Harima and Watanabe's characterization of componentwise linear ideals in terms of $\mathfrak{m}$-full property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Componentwise linear syzygies and good almost regular sequences Isogawa, Satoru Commutative Algebra 13D02, 13D07 In this paper, we introduce the notion of $γ$-regular sequences to characterize the property that graded modules have componentwise linear syzygies. This extends Harima and Watanabe's characterization of componentwise linear ideals in terms of $\mathfrak{m}$-full property. |
| title | Componentwise linear syzygies and good almost regular sequences |
| topic | Commutative Algebra 13D02, 13D07 |
| url | https://arxiv.org/abs/2503.22261 |