Lemma 67.39.8 (0468)—The Stacks project

Processing math: 100%

Table of contents
Part 4: Algebraic Spaces
Chapter 67: Morphisms of Algebraic Spaces
Section 67.39: Étale morphisms
Lemma 67.39.8 (cite)

previous lemma
next lemma

numberstags

history
statistics
10 tags refer to this tag

Étale implies locally of finite presentation.

Lemma 67.39.8. An étale morphism of algebraic spaces is locally of finite presentation.

Proof. The proof is identical to the proof of Lemma 67.39.5. It uses Morphisms, Lemma 29.36.11. $\square$

Comments (1)

Comment #913 by Matthieu Romagny on August 11, 2014 at 12:48

Suggested slogan: Etale implies locally of finite presentation.

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 (1)

Post a comment