Lemma 29.11.10. Let $X$ be a scheme. Let $\mathcal{L}$ be an invertible $\mathcal{O}_ X$-module. Let $s \in \Gamma (X, \mathcal{L})$. The inclusion morphism $j : X_ s \to X$ is affine.

Proof. This follows from Properties, Lemma 28.26.4 and the definition. $\square$

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