Descent for quasi-coherent sheaves on stacks

Details Descent for quasi-coherent sheaves on stacks Descent for quasi-coherent sheaves on stacks

2007-08-20

arxiv.org/abs/0708.2475v1

Algebraic and Geometric Topology 7 (2007) 411-438

Mathematics

Algebraic Topology

20 pages

Scientific paper

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.

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