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NYU Department of Mathematics - Graduate Student Resources Page

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Approximation of Sheaves on Algebraic Stacks | International Mathematics Research Notices | Oxford Academic

Raynaud–Gruson characterized flat and sheer morphisms between family schemes in status of projective modules. We give back a similar verbal description for nonaffine morphisms. As an application, we show that every quasi-coherent sheaf is the brotherhood of its finitely generated quasi-coherent subsheaves on any quasi-compact and quasi-separated algebraical stack.

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