Explicit constructions of short virtual resolutions of truncations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912575163203584 |
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| author | Heller, Lauren Cranton |
| author_facet | Heller, Lauren Cranton |
| contents | We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition to exhibit nontrivial homology in the commutative algebraic analogue of their construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06960 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit constructions of short virtual resolutions of truncations Heller, Lauren Cranton Algebraic Geometry Commutative Algebra 13D02, 14M25 We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition to exhibit nontrivial homology in the commutative algebraic analogue of their construction. |
| title | Explicit constructions of short virtual resolutions of truncations |
| topic | Algebraic Geometry Commutative Algebra 13D02, 14M25 |
| url | https://arxiv.org/abs/2501.06960 |