Descent for quasi-coherent sheaves on stacks
Algebraic Topology
2007-08-21 v1 Algebraic Geometry
Abstract
We give a homotopy theoretic characterization of sheaves on a stack and, more generally, a presheaf of groupoids on an arbitary small site C. We use this to prove homotopy invariance and generalized descent statements for categories of sheaves and quasi-coherent sheaves. As a corollary we obtain an alternate proof of a generalized change of rings theorem of Hovey.
Cite
@article{arxiv.0708.2475,
title = {Descent for quasi-coherent sheaves on stacks},
author = {Sharon Hollander},
journal= {arXiv preprint arXiv:0708.2475},
year = {2007}
}
Comments
20 pages