Geodesic
Cubic fourfolds, Kuznetsov components, and Chow motives
Documenta mathematica, Tome 28 (2023) no. 4, pp. 827-856

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We prove that the Chow motives of two smooth cubic fourfolds whose Kuznetsov components are Fourier–Mukai equivalent are isomorphic as Frobenius algebra objects. As a corollary, there exists a Galois-equivariant isomorphism between their l-adic cohomology Frobenius algebras. We also discuss the case where the Kuznetsov component of a smooth cubic fourfold is equivalent to the derived category of a K3 surface.
DOI : 10.4171/dm/925
Classification : 14F08, 14J28, 14J42, 14C25, 14C15
Mots-clés : Motives, K3 surfaces, cubic fourfolds, derived categories, cohomology ring 
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     title = {Cubic fourfolds, {Kuznetsov} components, and {Chow} motives},
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Lie Fu; Charles Vial. Cubic fourfolds, Kuznetsov components, and Chow motives. Documenta mathematica, Tome 28 (2023) no. 4, pp. 827-856. doi: 10.4171/dm/925

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