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A universal rigid abelian tensor category
Documenta mathematica, Tome 27 (2022), pp. 699-717 Cet article a éte moissonné depuis la source EMS Press

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We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This sheds a new light on abelian ⊗-envelopes and on motivic conjectures such as Grothendieck's standard conjecture D and Voevodsky's smash nilpotence conjecture.
DOI : 10.4171/dm/882
Classification : 14C15, 18D15
Mots-clés : motive, rigid category, envelope 
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     author = {Luca Barbieri-Viale and Bruno Kahn},
     title = {A universal rigid abelian tensor category},
     journal = {Documenta mathematica},
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     year = {2022},
     volume = {27},
     doi = {10.4171/dm/882},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/882/}
}
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Luca Barbieri-Viale; Bruno Kahn. A universal rigid abelian tensor category. Documenta mathematica, Tome 27 (2022), pp. 699-717. doi: 10.4171/dm/882

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