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Constructions of derived equivalent hyper-Kähler fourfolds
Published 22 Dec 2023 in math.AG | (2312.14543v4)
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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