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arXiv · 2502.19296

Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution

Laure Flapan·Sarah Frei·Lisa Marquand
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Abstract

We study the equivariant Kuznetsov component $\mathrm{Ku}_G(X)$ of a general cubic fourfold $X$ with a symplectic involution. We show that $\mathrm{Ku}_G(X)$ is equivalent to the derived category $D^b(S)$ of a $K3$ surface $S$, where $S$ is given as a component of the fixed locus of the induced symplectic action on the Fano variety of lines on $X$.

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Laure Flapan, Sarah Frei, Lisa Marquand. 2025-02-26. Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution. https://arxiv.org/abs/2502.19296

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