Lemma 76.46.7 (06BX)—The Stacks project

Processing math: 100%

Table of contents
Part 4: Algebraic Spaces
Chapter 76: More on Morphisms of Spaces
Section 76.46: Pseudo-coherent morphisms
Lemma 76.46.7 (cite)

previous lemma

numberstags

history
statistics

Lemma 76.46.7. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$ . If $Y$ is locally Noetherian, then $f$ is pseudo-coherent if and only if $f$ is locally of finite type.

Proof. Omitted. Hint: Use the schemes version of this lemma, see More on Morphisms, Lemma 37.60.9. $\square$

Comments (0)

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$ ). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Comments (0)

Post a comment