Minimal resolutions of toric substacks by line bundles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910175538970624 |
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| author | Han, Zengrui |
| author_facet | Han, Zengrui |
| contents | We construct minimal resolutions of pushforwards of structure sheaves of toric substacks of smooth toric stacks by line bundles as strong deformation retracts of cellular resolutions constructed by Hanlon, Hicks and Lazarev. We also provide a canonical and combinatorial description of the differentials of such minimal resolutions. Two key ingredients are the homological perturbation lemma and the Moore-Penrose inverses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14384 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Minimal resolutions of toric substacks by line bundles Han, Zengrui Algebraic Geometry Commutative Algebra 14M25, 18G10, 14F08, 13C70 We construct minimal resolutions of pushforwards of structure sheaves of toric substacks of smooth toric stacks by line bundles as strong deformation retracts of cellular resolutions constructed by Hanlon, Hicks and Lazarev. We also provide a canonical and combinatorial description of the differentials of such minimal resolutions. Two key ingredients are the homological perturbation lemma and the Moore-Penrose inverses. |
| title | Minimal resolutions of toric substacks by line bundles |
| topic | Algebraic Geometry Commutative Algebra 14M25, 18G10, 14F08, 13C70 |
| url | https://arxiv.org/abs/2604.14384 |