Definition 39.9.1. Let $k$ be a field. An *abelian variety* is a group scheme over $k$ which is also a proper, geometrically integral variety over $k$.

## Post a comment

Your email address will not be published. Required fields are marked.

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).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.

## Comments (4)

Comment #78 by Keenan Kidwell on

Comment #85 by Johan on

Comment #7838 by Zhenhua Wu on

Comment #8062 by Stacks Project on