Cohomological support varieties of certain monomial ideals
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911502979563520 |
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| author | Gintz, Michael |
| author_facet | Gintz, Michael |
| contents | Building on work of Briggs, Grifo and Pollitz arXiv:2506.10827, we give an example of two cohomological support varieties of monomial ideals which are not unions of linear subspaces. We provide a procedure for the computation of the cohomological support varieties of certain other monomial ideals - including those with homogeneous generators - with improved computational efficiency, leading to a computer-assisted verification of the existence of a third support variety of a monomial ideal which is not a union of linear subspaces and a computer-assisted proof of a classification of cohomological support varieties of homogeneous monomial ideals over $\mathbb{Q}$ with 6 generators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16431 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cohomological support varieties of certain monomial ideals Gintz, Michael Commutative Algebra Building on work of Briggs, Grifo and Pollitz arXiv:2506.10827, we give an example of two cohomological support varieties of monomial ideals which are not unions of linear subspaces. We provide a procedure for the computation of the cohomological support varieties of certain other monomial ideals - including those with homogeneous generators - with improved computational efficiency, leading to a computer-assisted verification of the existence of a third support variety of a monomial ideal which is not a union of linear subspaces and a computer-assisted proof of a classification of cohomological support varieties of homogeneous monomial ideals over $\mathbb{Q}$ with 6 generators. |
| title | Cohomological support varieties of certain monomial ideals |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2602.16431 |