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arXiv · 2312.14543

Constructions of derived equivalent hyper-K\"ahler fourfolds

Grzegorz Kapustka·Michał Kapustka
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Abstract

We study twisted derived equivalences of hyper-K\"ahler fourfolds. We describe when two hyper-K\"ahler 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-K\"ahler manifolds of Picard rank $\geq 2$.

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Grzegorz Kapustka, Michał Kapustka. 2023-12-22. Constructions of derived equivalent hyper-K\"ahler fourfolds. https://arxiv.org/abs/2312.14543

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