Geodesic
Modules homotopiques
Documenta mathematica, Tome 16 (2011), pp. 411-455
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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.
DOI : 10.4171/dm/337
Classification : 14C15, 14C35, 14F42
Mots-clés : motifs mixtes, complexes motiviques, modules de cycles, filtration par coniveau 
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     author = {F. D\'eglise},
     title = {Modules homotopiques},
     journal = {Documenta mathematica},
     pages = {411--455},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/337},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/337/}
}
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F. Déglise. Modules homotopiques. Documenta mathematica, Tome 16 (2011), pp. 411-455. doi: 10.4171/dm/337

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