A hypergraph characterization of nearly complete intersections
Fuente:
arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866916433940709376 |
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| author | Bondi, Chiara Gibbons, Courtney R. Ke, Yuye Martin, Spencer Pothagoni, Shrunal Stelzer, Andrew |
| author_facet | Bondi, Chiara Gibbons, Courtney R. Ke, Yuye Martin, Spencer Pothagoni, Shrunal Stelzer, Andrew |
| contents | Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller then characterized nearly complete intersections using the theory of edge ideals (arXiv:2101.07901). We extend their work to fully characterize nearly complete intersections of arbitrary generating degrees and use this characterization to compute minimal free resolutions of nearly complete intersections from their degree 2 part. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_08401 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A hypergraph characterization of nearly complete intersections Bondi, Chiara Gibbons, Courtney R. Ke, Yuye Martin, Spencer Pothagoni, Shrunal Stelzer, Andrew Commutative Algebra 13C05, 13C13, 13C40, 13D02, 13A70 Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller then characterized nearly complete intersections using the theory of edge ideals (arXiv:2101.07901). We extend their work to fully characterize nearly complete intersections of arbitrary generating degrees and use this characterization to compute minimal free resolutions of nearly complete intersections from their degree 2 part. |
| title | A hypergraph characterization of nearly complete intersections |
| topic | Commutative Algebra 13C05, 13C13, 13C40, 13D02, 13A70 |
| url | https://arxiv.org/abs/2101.08401 |