The Stacks project

Definition 31.23.7. Let $X$ be a locally ringed space. 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. In other words, $s$ is a regular section of the invertible $\mathcal{K}_ X$-module $\mathcal{K}_ X(\mathcal{L})$, see Definition 31.14.6.

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