Lemma 76.44.3 (06BP)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 76: More on Morphisms of Spaces
Section 76.44: Regular immersions
Lemma 76.44.3 (cite)

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Lemma 76.44.3. Let $S$ be a scheme. Let $i : Z \to X$ be an immersion of algebraic spaces over $S$ . We have the following implications: $i$ is Koszul-regular $\Rightarrow$ $i$ is $H_1$ -regular $\Rightarrow$ $i$ is quasi-regular.

Proof. Via the definition this lemma immediately reduces to Divisors, Lemma 31.21.2. $\square$

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