The Stacks project

Definition 67.49.6. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$ satisfying the equivalent conditions of Lemma 67.49.1. We define the normalization of $X$ as the morphism

\[ \nu _ X : X^\nu \longrightarrow X \]

constructed in Lemma 67.49.5.

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