Geodesic
Cubic fourfolds, Kuznetsov components, and Chow motives
Documenta mathematica, Tome 28 (2023) no. 4, pp. 827-856 Cet article a éte moissonné depuis la source EMS Press

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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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     author = {Lie Fu and Charles Vial},
     title = {Cubic fourfolds, {Kuznetsov} components, and {Chow} motives},
     journal = {Documenta mathematica},
     pages = {827--856},
     year = {2023},
     volume = {28},
     number = {4},
     doi = {10.4171/dm/925},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/925/}
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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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