Geodesic
Modules homotopiques
Documenta mathematica, Tome 16 (2011), pp. 411-455.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Based on previous works, we compare over a perfect field $k$ the category of homotopy invariant sheaves with transfers introduced by V. Voevodsky and the category of cycle modules introduced by M. Rost: the former is a full subcategory of the latter. Using the recent construction by D.C. Cisinski and the author of a non effective version $DM(k)$ of the category of motivic complexes, we show that cycle modules form the heart of a natural t-structure on $DM(k)$, generalizing the homotopy t-structure on motivic complexes.
Classification : 14F42, 14C15, 14C35
Keywords: motifs mixtes, complexes motiviques, modules de cycles, filtration par coniveau 
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     author = {D\'eglise, F.},
     title = {Modules homotopiques},
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     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a21/}
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Déglise, F. Modules homotopiques. Documenta mathematica, Tome 16 (2011), pp. 411-455. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a21/