Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912770407006208 |
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| author | Prieto-Montañez, Yulieth Selvaggi, Ian |
| author_facet | Prieto-Montañez, Yulieth Selvaggi, Ian |
| contents | We prove that very general, dual Gushel-Mukai surfaces are not isomorphic, though derived and L-equivalent. We use this result to study two semiorthogonal decompositions for a family of Fano fourfolds of K3 type, answering a question by Bernardara-Fatighenti-Manivel-Tanturri. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type Prieto-Montañez, Yulieth Selvaggi, Ian Algebraic Geometry We prove that very general, dual Gushel-Mukai surfaces are not isomorphic, though derived and L-equivalent. We use this result to study two semiorthogonal decompositions for a family of Fano fourfolds of K3 type, answering a question by Bernardara-Fatighenti-Manivel-Tanturri. |
| title | Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.20324 |