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Approximation of Sheaves on Algebraic Stacks
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2016 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 3, 717-737 p.Article in journal (Refereed) PublishedText
Abstract [en]

Raynaud-Gruson characterized flat and pure morphisms between affine schemes in terms of projective modules. We give a similar characterization for nonaffine morphisms. As an application, we show that every quasi-coherent sheaf is the union of its finitely generated quasi-coherent subsheaves on any quasi-compact and quasi-separated algebraic stack.

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Oxford University Press, 2016. no 3, 717-737 p.
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URN: urn:nbn:se:kth:diva-188753DOI: 10.1093/imrn/rnv142ISI: 000376396800004OAI: diva2:939652
Swedish Research Council, 2011-5599

QC 20160620

Available from: 2016-06-20 Created: 2016-06-17 Last updated: 2016-06-20Bibliographically approved

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Rydh, David
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