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 au-plane Gr(2, 3) and for ordinary Gushel-Mukai fourfolds containing a quintic del Pezzo surface.
Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative K3 surfaces / M. Ornaghi, L. Pertusi. - In: JOURNAL OF NONCOMMUTATIVE GEOMETRY. - ISSN 1661-6952. - 13:2(2019 Mar), pp. 499-515.
Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative K3 surfaces
M. Ornaghi
Primo
;L. PertusiUltimo
2019
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 au-plane Gr(2, 3) and for ordinary Gushel-Mukai fourfolds containing a quintic del Pezzo surface.
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