Local and stable homological algebra in Grothendieck abelian categories
By Denis-Charles Cisinski, Frédéric Déglise. 2007
86 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7c18aaf656def63d46ae8ff89bbfeb6d995eec6e
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In Algebra and Number Theory
In Geometry and Topology
- Denis-Charles Cisinski
- Frédéric Déglise
- Tom Bachmann
- Gonçalo Tabuada
- Marc Hoyois
- L. Cohn
- Moritz Groth
- Christian Sattler
In Mathematical Physics
- Denis-Charles Cisinski
- Frédéric Déglise
- Tom Bachmann
- Gonçalo Tabuada
- Marc Hoyois
- L. Cohn
- Moritz Groth
- Christian Sattler
Citations in the corpus
- Mixed Weil cohomologies (2007, background): “6 of [14] to get that the VNis-local model structure of 1.”