The Stacks project

Definition 29.55.1. Let $X$ be a scheme such that every quasi-compact open has finitely many irreducible components. We define the normalization of $X$ as the morphism

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

which is the normalization of $X$ in the morphism $f : Y \to X$ (29.55.0.1) constructed above.

Comments (2)

Comment #11348 by shubhankar on

It would be better if this referred to whereever relative normalization is defined.

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  • 2 comment(s) on Section 29.55: Normalization

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View Definition 29.55.1 as pdf