Definition 29.47.8. Let $X$ be a scheme.

1. The morphism $X^{sn} \to X$ constructed in Lemma 29.47.7 is the seminormalization of $X$.

2. The morphism $X^{awn} \to X$ constructed in Lemma 29.47.7 is the absolute weak normalization of $X$.

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).