Equivariant Kuznetsov Components of Certain Cubic Fourfolds

2023/12/28 by Hu, Xianyu · 1 citation
#14E16 #14F08 #14J35 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.17392

Abstract

Let M denote a specific cubic fourfold that accommodates a group action by ℤ/3ℤ. Through utilization of derived Mckay correspondence, we present a new proof establishing the identification of the equivariant Kuznetsov component in the equivariant derived category of M with the derived category of certain abelian surface. This surface naturally emerges from the defining equation of the cubic fourfold M.

Cited by

• Rational cubic fourfolds with a symplectic group of automorphisms

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