Constructions of derived equivalent hyper-Kähler fourfolds
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913939307102208 |
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| author | Kapustka, Grzegorz Kapustka, Michał |
| author_facet | Kapustka, Grzegorz Kapustka, Michał |
| contents | We study twisted derived equivalences of hyper-Kähler fourfolds. We describe when two hyper-Kähler fourfolds of $K3^{[2]}$-type of Picard rank $1$ with isomorphic transcendental lattices are derived equivalent. Then we present new constructions of pairs of twisted derived equivalent hyper-Kähler manifolds of Picard rank $\geq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14543 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Constructions of derived equivalent hyper-Kähler fourfolds Kapustka, Grzegorz Kapustka, Michał Algebraic Geometry We study twisted derived equivalences of hyper-Kähler fourfolds. We describe when two hyper-Kähler fourfolds of $K3^{[2]}$-type of Picard rank $1$ with isomorphic transcendental lattices are derived equivalent. Then we present new constructions of pairs of twisted derived equivalent hyper-Kähler manifolds of Picard rank $\geq 2$. |
| title | Constructions of derived equivalent hyper-Kähler fourfolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2312.14543 |