Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910307709878272 |
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| author | Iglesias, Rodrigo Sáenz-de-Cabezón, Eduardo |
| author_facet | Iglesias, Rodrigo Sáenz-de-Cabezón, Eduardo |
| contents | We prove that the Pommaret-Seiler resolution for quasi-stable ideals is cellular and give a cellular structure for it. This shows that this resolution is a generalization of the well known Eliahou-Kervaire resolution for stable ideals in a deeper sense. We also prove that the Pommaret-Seiler resolution can be reduced to the minimal one via Discrete Morse Theory and provide a constructive algorithm to perform this reduction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13788 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals Iglesias, Rodrigo Sáenz-de-Cabezón, Eduardo Commutative Algebra Rings and Algebras We prove that the Pommaret-Seiler resolution for quasi-stable ideals is cellular and give a cellular structure for it. This shows that this resolution is a generalization of the well known Eliahou-Kervaire resolution for stable ideals in a deeper sense. We also prove that the Pommaret-Seiler resolution can be reduced to the minimal one via Discrete Morse Theory and provide a constructive algorithm to perform this reduction. |
| title | Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals |
| topic | Commutative Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2401.13788 |