Lemma 79.10.2 (0B8F)—The Stacks project

Loading web-font TeX/Math/Italic

Table of contents
Part 4: Algebraic Spaces
Chapter 79: More on Groupoids in Spaces
Section 79.10: Group algebraic spaces over fields
Lemma 79.10.2 (cite)

previous lemma
next proposition

numberstags

history
statistics
2 tags refer to this tag

Lemma 79.10.2. Let $k$ be a field. Let $G$ be a group algebraic space over $k$ . If $G$ is separated and locally of finite type over $k$ , then $G$ is a scheme.

Proof. This follows from Lemma 79.10.1, Groupoids, Lemma 39.8.6, and Spaces over Fields, Lemma 72.10.7. $\square$

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