The Stacks project

43.2 Conventions

We fix an algebraically closed ground field $\mathbf{C}$ of any characteristic. All schemes and varieties are over $\mathbf{C}$ and all morphisms are over $\mathbf{C}$. A variety $X$ is nonsingular if $X$ is a regular scheme (see Properties, Definition 28.9.1). In our case this means that the morphism $X \to \mathop{\mathrm{Spec}}(\mathbf{C})$ is smooth (see Varieties, Lemma 33.12.6).

Comments (1)

Comment #4864 by Matthieu Romagny on

I find the choice of the letter for the algebraically closed field quite confusing. I happened to be reading parts of this chapter without prior knowledge of the conventions section, and it really puzzled me. Why not just ?

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Your email address will not be published.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.

In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 0AZ8. Beware of the difference between the letter 'O' and the digit '0'.