Modules Homotopiques

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.

2010 Mathematics Subject Classification: 14F42, (14C15, 14C35)

Keywords and Phrases: motifs mixtes, complexes motiviques, modules de cycles, filtration par coniveau

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