The Stacks project

Situation 20.53.2. Let $(X, \mathcal{O}_ X)$ be a ringed space. Let $\mathcal{I} \subset \mathcal{O}_ X$ be a sheaf of ideals satisfying condition (1) of Lemma 20.53.11.

[1] The discussion in this section can be generalized to the case where all we require is that $\mathcal{I}$ is an invertible $\mathcal{O}_ X$-module as defined in Modules, Section 17.24.

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