Local and stable homological algebra in Grothendieck abelian categories - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Homology, Homotopy and Applications(HHA) Année : 2009

Local and stable homological algebra in Grothendieck abelian categories

Résumé

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 and we consider here the case of mixed motives over a regular base scheme.

Dates et versions

hal-00268008 , version 1 (31-03-2008)

Identifiants

Citer

Denis-Charles Cisinski, Frédéric Déglise. Local and stable homological algebra in Grothendieck abelian categories. Homology, Homotopy and Applications(HHA), 2009, 11 (1), pp.219-260. ⟨hal-00268008⟩
59 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More