Theorem 59.16.7 (03OD)—The Stacks project

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Table of contents
Part 3: Topics in Scheme Theory
Chapter 59: Étale Cohomology
Section 59.16: Faithfully flat descent
Theorem 59.16.7 (cite)

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Theorem 59.16.7. If $A \to B$ is faithfully flat then descent data with respect to $A\to B$ are effective.

Proof. See Descent, Proposition 35.3.9. See also Descent, Remark 35.3.11 for an alternative view of the proof. $\square$

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