Local cohomology tables of sequentially almost Cohen-Macaulay modules
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866929758609080320 |
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| author | Meng, Cheng |
| author_facet | Meng, Cheng |
| contents | Let $R$ be a polynomial ring over a field. We introduce the concept of sequentially almost Cohen-Macaulay modules and describe the extremal rays of the cone of local cohomology tables of finitely generated graded $R$-modules which are sequentially almost Cohen-Macaulay, and describe some cases when the local cohomology table of a module of dimension 3 has a nontrivial decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_07536 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Local cohomology tables of sequentially almost Cohen-Macaulay modules Meng, Cheng Commutative Algebra 13D45 Let $R$ be a polynomial ring over a field. We introduce the concept of sequentially almost Cohen-Macaulay modules and describe the extremal rays of the cone of local cohomology tables of finitely generated graded $R$-modules which are sequentially almost Cohen-Macaulay, and describe some cases when the local cohomology table of a module of dimension 3 has a nontrivial decomposition. |
| title | Local cohomology tables of sequentially almost Cohen-Macaulay modules |
| topic | Commutative Algebra 13D45 |
| url | https://arxiv.org/abs/2111.07536 |