Abstract
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 -plane Gr.2; 3/ and for ordinary Gushel–Mukai fourfolds containing a quintic del Pezzo surface.
| Original language | English |
|---|---|
| Pages (from-to) | 499-515 |
| Number of pages | 17 |
| Journal | Journal of Noncommutative Geometry |
| Volume | 13 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jan 2019 |
| Externally published | Yes |
Keywords
- Cubic fourfolds
- Derived category
- Gushel–Mukai fourfolds
- Noncommutative K3 surfaces
- Noncommutative algebraic geometry
- Noncommutative motives
- Voevodsky’s nilpotence conjecture
ASJC Scopus subject areas
- Algebra and Number Theory
- Mathematical Physics
- Geometry and Topology
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