Definition 70.10.9. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. Let $\mathcal{L}$ be an invertible $\mathcal{O}_ X$-module. A meromorphic section $s$ of $\mathcal{L}$ is said to be *regular* if the induced map $\mathcal{K}_ X \to \mathcal{K}_ X(\mathcal{L})$ is injective.

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