Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution

2025/02/26 by Laure Flapan, Flapan, Laure, Sarah Frei +3 · 1 citation
Mathematics · #14F08 #14J28 #14J35 #14J50 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2502.19296

openalex publication_date 2025/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the equivariant Kuznetsov component Ku_G(X) of a general cubic fourfold X with a symplectic involution. We show that 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.

Cited by

• Rational cubic fourfolds with a symplectic group of automorphisms

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