Definition 100.46.3. Let $\mathcal{X}$ be an algebraic stack satisfying the equivalent conditions of Lemma 100.46.1. We define the normalization of $\mathcal{X}$ as the morphism

$\nu : \mathcal{X}^\nu \longrightarrow \mathcal{X}$

constructed in Lemma 100.46.2.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).