Let $X$ be a geometrically integral algebraic curve over a field $k$.
Let $\overline{k}$ be an algebraic closure of $k$.
Let $X_{\overline{k}}$ be the base extension.
The **geometric gonality** (or **$\overline{k}$-gonality**) of $X$ is the gonality of $X_{\overline{k}}$, that is, the minimal degree of a dominant morphism $X_{\overline{k}} \to \mathbb P^1_{\overline{k}}$.

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- Review status: reviewed
- Last edited by Bjorn Poonen on 2022-03-24 19:08:11

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**History:**(expand/hide all)

- 2022-03-24 19:08:11 by Bjorn Poonen (Reviewed)
- 2022-03-24 16:19:02 by Bjorn Poonen
- 2022-03-21 12:24:59 by Bianca Viray (Reviewed)
- 2022-03-21 12:24:17 by Bianca Viray

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