The **geometric automorphism group** of a curve is the automorphism group of its base change to the algebraic closure of its base field.

If $X$ is a curve over a field $k$, its geometric automorphism group is denoted $\mathrm{Aut}(X_{\bar{k}})$.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by John Voight on 2020-10-10 13:02:48

**Referred to by:**

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

- 2020-10-10 13:02:48 by John Voight (Reviewed)
- 2018-05-23 16:55:30 by John Cremona (Reviewed)

**Differences**(show/hide)