Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative \(K3\) surfaces (Q2327769)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative \(K3\) surfaces |
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Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative \(K3\) surfaces (English)
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15 October 2019
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Summary: In the first part of this paper we will prove the Voevodsky's nilpotence conjecture for smooth cubic fourfolds and ordinary generic Gushel-Mukai fourfolds. Then, making use of noncommutative motives, we will prove the Voevodsky's nilpotence conjecture for generic Gushel-Mukai fourfolds containing a \(\tau\)-plane \(\text{Gr}(2, 3)\) and for ordinary Gushel-Mukai fourfolds containing a quintic del Pezzo surface.
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Voevodsky's nilpotence conjecture
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noncommutative motives
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noncommutative algebraic geometry
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derived category
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cubic fourfolds
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Gushel-Mukai fourfolds
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noncommutative \(K3\) surfaces
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