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Article Dans Une Revue Journal für die reine und angewandte Mathematik Année : 2015

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.

Dates et versions

hal-00958217 , version 1 (12-03-2014)

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Marcello Bernardara, Matilde Marcolli, Goncalo Tabuada. Some remarks concerning Voevodsky's nilpotence conjecture. Journal für die reine und angewandte Mathematik, 2015, ⟨10.1515/crelle-2015-0068⟩. ⟨hal-00958217⟩
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