Lemma 76.7.9 (05Z9)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 76: More on Morphisms of Spaces
Section 76.7: Sheaf of differentials of a morphism
Lemma 76.7.9 (cite)

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Lemma 76.7.9. Let $S$ be a scheme. If $X \to Y$ is an immersion of algebraic spaces over $S$ then $\Omega _{X/S}$ is zero.

Proof. Follows from the schemes version, see Morphisms, Lemma 29.32.14, of this result via étale localization, see Lemma 76.7.3. $\square$

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