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Some remarks on bielliptic and trigonal curves

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arxiv 1512.07963 v1 pith:2CTC2FCY submitted 2015-12-25 math.AG math.CV

Some remarks on bielliptic and trigonal curves

Andreas Schweizer This is my paper
classification math.AG math.CV
keywords curvessigmabiellipticfixedgenuspointssomethen
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We prove some results on algebraic curves $X$ of genus $g\geq 2$ in characteristic $0$. For example: Assume that $X$ has an automorphism $\sigma$ of prime order $p\geq 5$. If $\sigma$ has no fixed points, then $X$ cannot be trigonal. On the other hand, if $\sigma$ has fixed points, then $X$ is bielliptic only if it belongs to one of three extremal types of curves of small genus.

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