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An algebraic curve $X$ is a cyclic trigonal curve if there is an order $3$ subgroup $H$ of its automorphism group such that the quotient curve $X/H$ is isomorphic to $\mathbb{P}^1$.

A generator of such a subgroup $H$ is called a trigonal automorphism.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2018-07-01 23:25:02
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