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Approximation of sheaves on algebraic stacks (1408.6698v3)

Published 28 Aug 2014 in math.AG

Abstract: Raynaud--Gruson characterized flat and pure morphisms between affine schemes in terms of projective modules. We give a similar characterization for non-affine 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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