Godement resolutions and sheaf homotopy theory
Algebraic Geometry
2014-09-16 v4 Category Theory
K-Theory and Homology
Abstract
The Godement cosimplicial resolution is available for a wide range of categories of sheaves. In this paper we investigate under which conditions of the Grothendieck site and the category of coefficients it can be used to obtain fibrant models and hence to do sheaf homotopy theory. For instance, for which Grothendieck sites and coefficients we can define sheaf cohomology and derived functors through it.
Keywords
Cite
@article{arxiv.1302.2442,
title = {Godement resolutions and sheaf homotopy theory},
author = {Beatriz Rodriguez Gonzalez and Agusti Roig},
journal= {arXiv preprint arXiv:1302.2442},
year = {2014}
}
Comments
33 pages. To appear in Collectanea Mathematica. The final publication is available at Springer via http://dx.doi.org/10.1007/s13348-014-0123-x