T-model structures on chain complexes of presheaves

2006/12/14 by Fausk, H.
#18E30 #18G55 #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0612414

Abstract

A tensor model structure is constructed on the category of chain complexes of presheaves of R-modules for a sheaf of rings R in a Grothendieck topos. If the topos has enough points, then the homotopy category is equivalent to the derived category. Some t-structures, generalizing the perverse t-structures, are constructed on the derived category.

Related

• Model category structures on chain complexes of sheaves
• A Quillen Approach to Derived Categories and Tensor Products
• Standard t-structures
• The Hurewicz model structure on simplicial R-modules
• Model category structures arising from Drinfeld vector bundles