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Article Dans Une Revue Documenta Mathematica Année : 2022

A universal rigid abelian tensor category

Résumé

We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This yields a novel approach to Grothendieck's standard conjecture D and Voevodsky's smash nilpotence conjecture.

Dates et versions

hal-03442156 , version 1 (23-11-2021)

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Citer

Bruno Kahn, L. Barbieri-Viale. A universal rigid abelian tensor category. Documenta Mathematica , 2022, 27, pp.699-717. ⟨hal-03442156⟩
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