Homology, Homotopy and Applications
Volume 11 (2009)
Local and stable homological algebra in Grothendieck abelian categories
Pages: 219 – 260
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.
stable model categories; Grothendieck abelian categories; derived functors; motivic complexes
2010 Mathematics Subject Classification
14F42, 18E15, 18G35, 18G55