Geodesic
Local and stable homological algebra in Grothendieck abelian categories
Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 219-260.

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

We define model category structures on the category of chain complexes over a Grothendieck abelian category depending on the choice of a generating family, and we study their behaviour with respect to tensor products and stabilization. This gives convenient tools to construct and understand triangulated categories of motives.
DOI : 10.4310/HHA.2009.v11.n1.a11
Classification : 14F42, 18E15, 18G35, 18G55
Keywords: stable model categories, Grothendieck abelian categories, derived functors, motivic complexes 
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Denis-Charles Cisinski; Frédéric Déglise. Local and stable homological algebra in Grothendieck abelian categories. Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 219-260. doi : 10.4310/HHA.2009.v11.n1.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n1.a11/

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