Lemma 33.10.6 (0C3M)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 33: Varieties
Section 33.10: Geometrically normal schemes
Lemma 33.10.6 (cite)

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Lemma 33.10.6. Let $k$ be a field. Let $X$ be a normal scheme over $k$ . Let $K/k$ be a separable field extension. Then $X_ K$ is a normal scheme.

Proof. Follows from Lemma 33.10.5 and Algebra, Lemma 10.165.4. $\square$

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