Six operations on dg enhancements of derived categories of sheaves

2015/07/30 by Olaf M. Schnürer, Schnürer, Olaf M.
Mathematics · #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.08697

Abstract

We lift Grothendieck-Verdier-Spaltenstein's six functor formalism for derived categories of sheaves on ringed spaces over a field to differential graded enhancements. Our main tools come from enriched model category theory.

Citations

• Enhanced six operations and base change theorem for higher Artin stacks
• Homotopy limits and colimits and enriched homotopy theory
• Foundations for almost ring theory -- Release 7.5
• Higher Operads, Higher Categories

Related

• Model category structures on chain complexes of sheaves
• Derived categories of sheaves: a skimming
• Enhancement for categories and homotopical algebra
• Grothendieck enriched categories
• The derived category with respect to a generator