## 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).

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## Comments (1)

Comment #4864 by Matthieu Romagny on