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.
Publié le : 2009-05-15
Classification:
Stable model categories,
Grothendieck abelian categories,
derived functors,
motivic complexes,
18G55,
18G35,
18E15,
14F42
@article{1251832567,
author = {Cisinski, Denis-Charles and D\'eglise, Fr\'ed\'eric},
title = {Local and stable homological algebra in Grothendieck abelian categories},
journal = {Homology Homotopy Appl.},
volume = {11},
number = {1},
year = {2009},
pages = { 219-260},
language = {en},
url = {http://dml.mathdoc.fr/item/1251832567}
}
Cisinski, Denis-Charles; Déglise, Frédéric. Local and stable homological algebra in Grothendieck abelian categories. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp. 219-260. http://gdmltest.u-ga.fr/item/1251832567/