Definition 66.31.2. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. Let $\mathcal{F}$ be a quasi-coherent $\mathcal{O}_ X$-module. We say $\mathcal{F}$ is locally projective if the equivalent conditions of Lemma 66.31.1 are satisfied.
Definition 66.31.2. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. Let $\mathcal{F}$ be a quasi-coherent $\mathcal{O}_ X$-module. We say $\mathcal{F}$ is locally projective if the equivalent conditions of Lemma 66.31.1 are satisfied.
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