Descent for quasi-coherent sheaves on stacks

Sharon Hollander

doi:10.2140/agt.2007.7.411

Descent for quasi-coherent sheaves on stacks

Sharon Hollander

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	411-437
Number of pages	27
Journal	Algebraic and Geometric Topology
Volume	7
Issue number	1
DOIs	https://doi.org/10.2140/agt.2007.7.411
State	Published - 1 Dec 2007
Externally published	Yes

Keywords

Descent
Quasi-coherent sheaves
Stacks

ASJC Scopus subject areas

Geometry and Topology

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10.2140/agt.2007.7.411

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AB - 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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KW - Quasi-coherent sheaves

KW - Stacks

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DO - 10.2140/agt.2007.7.411

M3 - Article

AN - SCOPUS:45749154199

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JO - Algebraic and Geometric Topology

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Descent for quasi-coherent sheaves on stacks

Abstract

Keywords

ASJC Scopus subject areas

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