2007/12/19 by Denis-Charles Cisinski, Cisinski, Denis-Charles, Frédéric Déglise +1
Mathematics · #14F42 #18E15 #18E35 #18F99 #18G10 #18G35 #18G55 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · doi:10.48550/arxiv.0712.3296
openalex publication_date 2007/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.