Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908493790838784 |
|---|---|
| author | Chau, Trung |
| author_facet | Chau, Trung |
| contents | We prove that monomial ideals with at most five generators and their Artinian reductions have minimal generalized Barile-Macchia resolutions. As a corollary, these ideals have minimal cellular resolutions, extending a result by Faridi, D.G, Ghorbanic, and Pour. This corollary is independently obtained by Montaner, García, and Mafi, using a different class of cellular resolutions called pruned resolutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06182 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions Chau, Trung Commutative Algebra 13D02 (Primary), 13F55, 05C65, 05C75, 05E40 We prove that monomial ideals with at most five generators and their Artinian reductions have minimal generalized Barile-Macchia resolutions. As a corollary, these ideals have minimal cellular resolutions, extending a result by Faridi, D.G, Ghorbanic, and Pour. This corollary is independently obtained by Montaner, García, and Mafi, using a different class of cellular resolutions called pruned resolutions. |
| title | Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions |
| topic | Commutative Algebra 13D02 (Primary), 13F55, 05C65, 05C75, 05E40 |
| url | https://arxiv.org/abs/2502.06182 |