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

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

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- Last edited by John Cremona on 2018-05-23 16:55:30

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- 2018-05-23 16:55:30 by John Cremona (Reviewed)