The Stacks project

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

  1. $f$ is locally of finite presentation,

  2. $f$ is pseudo-coherent, and

  3. $f$ 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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