Derived categories of quartic double fivefolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910044194340864 |
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| author | Cheng, Raymond Perry, Alexander Zhao, Xiaolei |
| author_facet | Cheng, Raymond Perry, Alexander Zhao, Xiaolei |
| contents | We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also construct rational specializations of these fivefolds where such a resolution exists without a twist. This confirms an instance of a higher-dimensional version of Kuznetsov's rationality conjecture, and of a noncommutative version of Reid's fantasy on the connectedness of the moduli of Calabi--Yau threefolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derived categories of quartic double fivefolds Cheng, Raymond Perry, Alexander Zhao, Xiaolei Algebraic Geometry 14F08, 14E08 (primary), 14M20, 14D06 (secondary) We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also construct rational specializations of these fivefolds where such a resolution exists without a twist. This confirms an instance of a higher-dimensional version of Kuznetsov's rationality conjecture, and of a noncommutative version of Reid's fantasy on the connectedness of the moduli of Calabi--Yau threefolds. |
| title | Derived categories of quartic double fivefolds |
| topic | Algebraic Geometry 14F08, 14E08 (primary), 14M20, 14D06 (secondary) |
| url | https://arxiv.org/abs/2403.13463 |