Descent for quasi-coherent sheaves on stacks

Sharon Hollander

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arXiv · 0708.2475

Descent for quasi-coherent sheaves on stacks

Sharon Hollander

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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.

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BibTeX RIS

Sharon Hollander. 2007-08-20. Descent for quasi-coherent sheaves on stacks. https://arxiv.org/abs/0708.2475

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