English

T-model structures on chain complexes of presheaves

Algebraic Geometry 2008-06-15 v2 Category Theory

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.

Keywords

Cite

@article{arxiv.math/0612414,
  title  = {T-model structures on chain complexes of presheaves},
  author = {H. Fausk},
  journal= {arXiv preprint arXiv:math/0612414},
  year   = {2008}
}

Comments

22 pages