Geodesic
Intersecting the dimension and slice filtrations for motives
Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 259-274.

Voir la notice de l'article provenant de la source International Press of Boston

In this note we prove that the intersections of the levels of the dimension filtration on Voevodsky’s motivic complexes over a field with the levels of the slice filtration are “as small as possible”. This statement is applied to prove that a conjecture of Ayoub is equivalent to a certain orthogonality assumption.
DOI : 10.4310/HHA.2018.v20.n1.a16
Classification : 14C15, 18E30, 14C25, 18E35, 19E15
Keywords: Voevodsky motive, dimension filtration, slice filtration, weight structure, triangulated category, Chow motive 
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Mikhail V. Bondarko. Intersecting the dimension and slice filtrations for motives. Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 259-274. doi : 10.4310/HHA.2018.v20.n1.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n1.a16/

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