Rouquier dimension is Krull dimension for normal toric varieties
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929258509631488 |
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| author | Favero, David Huang, Jesse |
| author_facet | Favero, David Huang, Jesse |
| contents | We prove that for any normal toric variety, the Rouquier dimension of its bounded derived category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent-constructible correspondence to translate the problem into the study of Rouquier dimension for certain categories of constructible sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09158 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rouquier dimension is Krull dimension for normal toric varieties Favero, David Huang, Jesse Algebraic Geometry 14M25, 32S60, 14F08, 14J33 We prove that for any normal toric variety, the Rouquier dimension of its bounded derived category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent-constructible correspondence to translate the problem into the study of Rouquier dimension for certain categories of constructible sheaves. |
| title | Rouquier dimension is Krull dimension for normal toric varieties |
| topic | Algebraic Geometry 14M25, 32S60, 14F08, 14J33 |
| url | https://arxiv.org/abs/2302.09158 |