Lemma 28.21.3 (060M)—The Stacks project

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Part 2: Schemes
Chapter 28: Properties of Schemes
Section 28.21: Locally projective modules
Lemma 28.21.3 (cite)

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Lemma 28.21.3. Let $f : X \to Y$ be a morphism of schemes. Let $\mathcal{G}$ be a quasi-coherent $\mathcal{O}_ Y$ -module. If $\mathcal{G}$ is locally projective on $Y$ , then $f^*\mathcal{G}$ is locally projective on $X$ .

Proof. See Algebra, Lemma 10.94.1. $\square$

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