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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- Last edited by Andrew Sutherland on 2018-07-01 23:25:02

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- 2018-07-01 23:25:02 by Andrew Sutherland (Reviewed)