Fpqc Descent for Quasi-Coherent Sheaves

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Faithfully flat coverings let quasi-coherent sheaves be reconstructed from compatible local data. Follow the affine case first, then the passage to an arbitrary fpqc covering, keeping track of both gluing objects and descending their maps.

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Scheme · Sheaf · flat module · Tensor Product of Modules

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  1. Start here: The Stacks Project — Fpqc descent of quasi-coherent sheaves

    The Stacks Project Authors · Online reference · English · Free full text

    Section 35.5, Lemma 35.5.1 and Proposition 35.5.2

    Checked 2026-10-16

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