Bounding the order of automorphisms of certain curves

Mathematics – Algebraic Geometry

Scientific paper

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19 pages. Reason for resubmission: I improved all the results of the previous: "automorphisms of double coverings of curves".

Scientific paper

We study upper bounds on the order of automorphisms of non-singular curves
$X$ satisfying at least one of the following hypothesis: 1) $X$ is an
$m$-sheeted covering of exactly one non-singular curve of genus $\gamma$,
where $m$ is prime; 2) the center of the group of automorphisms of $X$ is
non-trivial.

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