Lemma 59.16.3 (03O9)—The Stacks project

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Part 3: Topics in Scheme Theory
Chapter 59: Étale Cohomology
Section 59.16: Faithfully flat descent
Lemma 59.16.3 (cite)

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Lemma 59.16.3. If $A \to B$ is faithfully flat, then the complex $(B/A)_\bullet$ is exact in positive degrees, and $H^0((B/A)_\bullet ) = A$ .

Proof. See Descent, Lemma 35.3.6. $\square$

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