Monomial ideals with minimal generalized Barile-Macchia resolutions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866918488711364608 |
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| author | Chau, Trung Ha, Huy Tai Maithani, Aryaman |
| author_facet | Chau, Trung Ha, Huy Tai Maithani, Aryaman |
| contents | We identify several classes of monomial ideals that possess minimal generalized Barile-Macchia resolutions. These classes of ideals include generic monomial ideals, monomial ideals with linear quotients, and edge ideals of hypertrees. We also characterize connected unicyclic graphs whose edge ideals are bridge-friendly and, in particular, have minimal Barile-Macchia resolutions. Barile-Macchia and generalized Barile-Macchia resolutions are cellular resolutions and special types of Morse resolutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11843 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monomial ideals with minimal generalized Barile-Macchia resolutions Chau, Trung Ha, Huy Tai Maithani, Aryaman Commutative Algebra 13D02 (Primary), 13F55, 05C65, 05C75, 05E40 We identify several classes of monomial ideals that possess minimal generalized Barile-Macchia resolutions. These classes of ideals include generic monomial ideals, monomial ideals with linear quotients, and edge ideals of hypertrees. We also characterize connected unicyclic graphs whose edge ideals are bridge-friendly and, in particular, have minimal Barile-Macchia resolutions. Barile-Macchia and generalized Barile-Macchia resolutions are cellular resolutions and special types of Morse resolutions. |
| title | Monomial ideals with minimal generalized Barile-Macchia resolutions |
| topic | Commutative Algebra 13D02 (Primary), 13F55, 05C65, 05C75, 05E40 |
| url | https://arxiv.org/abs/2412.11843 |