Some remarks concerning Voevodsky's nilpotence conjecture
Résumé
In this note we extend Voevodsky's nilpotence conjecture from smooth projective schemes to the broader setting of smooth proper dg categories. Making use of this noncommutative generalization, we then address Voevodsky's original conjecture is the case of quadric fibrations, intersection of quadrics, linear sections of Grassmannians, and Moishezon manifolds.