Lemma 76.48.3 (06C6)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 76: More on Morphisms of Spaces
Section 76.48: Local complete intersection morphisms
Lemma 76.48.3 (cite)

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Lemma 76.48.3. Let $S$ be a scheme. Let $f : X \to Y$ be a local complete intersection morphism of algebraic spaces over $S$ . Then

$f$ is locally of finite presentation,
$f$ is pseudo-coherent, and
$f$ is perfect.

Proof. Omitted. Hint: Use the schemes version of this lemma, see More on Morphisms, Lemma 37.62.4. $\square$

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