Regularity of Koszul modules
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909319087259648 |
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| author | Puthenpurakal, Tony J. |
| author_facet | Puthenpurakal, Tony J. |
| contents | Let $K$ be a field and let $S = K[X_1, \ldots, X_n]$. Let $I$ be a graded ideal in $S$ and let $M$ be a finitely generated graded $S$-module. We give upper bounds on the regularity of Koszul homology modules $H_i(I, M)$ for several classes of $I$ and $M$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11840 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of Koszul modules Puthenpurakal, Tony J. Commutative Algebra Primary 13D02, 13D45, Secondary 13C40 Let $K$ be a field and let $S = K[X_1, \ldots, X_n]$. Let $I$ be a graded ideal in $S$ and let $M$ be a finitely generated graded $S$-module. We give upper bounds on the regularity of Koszul homology modules $H_i(I, M)$ for several classes of $I$ and $M$. |
| title | Regularity of Koszul modules |
| topic | Commutative Algebra Primary 13D02, 13D45, Secondary 13C40 |
| url | https://arxiv.org/abs/2409.11840 |