Cubic fourfolds, Kuznetsov components, and Chow motives
Fu L, Vial C (2023)
Documenta Mathematica 28: 827-856.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Fu, Lie;
Vial, CharlesUniBi
Einrichtung
Abstract / Bemerkung
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 `-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.
Stichworte
Motives;
K3 surfaces;
cubic fourfolds;
derived categories;
cohomology;
ring
Erscheinungsjahr
2023
Zeitschriftentitel
Documenta Mathematica
Band
28
Seite(n)
827-856
eISSN
1431-0643
Page URI
https://pub.uni-bielefeld.de/record/2984575
Zitieren
Fu L, Vial C. Cubic fourfolds, Kuznetsov components, and Chow motives. Documenta Mathematica . 2023;28:827-856.
Fu, L., & Vial, C. (2023). Cubic fourfolds, Kuznetsov components, and Chow motives. Documenta Mathematica , 28, 827-856. https://doi.org/10.4171/DM/925
Fu, Lie, and Vial, Charles. 2023. “Cubic fourfolds, Kuznetsov components, and Chow motives”. Documenta Mathematica 28: 827-856.
Fu, L., and Vial, C. (2023). Cubic fourfolds, Kuznetsov components, and Chow motives. Documenta Mathematica 28, 827-856.
Fu, L., & Vial, C., 2023. Cubic fourfolds, Kuznetsov components, and Chow motives. Documenta Mathematica , 28, p 827-856.
L. Fu and C. Vial, “Cubic fourfolds, Kuznetsov components, and Chow motives”, Documenta Mathematica , vol. 28, 2023, pp. 827-856.
Fu, L., Vial, C.: Cubic fourfolds, Kuznetsov components, and Chow motives. Documenta Mathematica . 28, 827-856 (2023).
Fu, Lie, and Vial, Charles. “Cubic fourfolds, Kuznetsov components, and Chow motives”. Documenta Mathematica 28 (2023): 827-856.
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