Journal Article

Approximation of Sheaves on Algebraic Stacks

David Rydh

in International Mathematics Research Notices

Volume 2016, issue 3, pages 717-737
Published in print January 2016 | ISSN: 1073-7928
Published online May 2015 | e-ISSN: 1687-0247 | DOI: https://dx.doi.org/10.1093/imrn/rnv142

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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.

Journal Article.  7751 words.  Illustrated.

Subjects: Mathematics ; Pure Mathematics

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