Approximation of Sheaves on Algebraic Stacks
2016 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 3, 717-737 p.Article in journal (Refereed) PublishedText
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.
Place, publisher, year, edition, pages
Oxford University Press, 2016. no 3, 717-737 p.
IdentifiersURN: urn:nbn:se:kth:diva-188753DOI: 10.1093/imrn/rnv142ISI: 000376396800004OAI: oai:DiVA.org:kth-188753DiVA: diva2:939652
FunderSwedish Research Council, 2011-5599
QC 201606202016-06-202016-06-172016-06-20Bibliographically approved