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Bounding the order of automorphisms of certain curves

Fernando Torres
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Abstract

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 $γ$, where $m$ is prime; 2) the center of the group of automorphisms of $X$ is non-trivial.

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Fernando Torres. 1995-08-19. Bounding the order of automorphisms of certain curves. https://arxiv.org/abs/alg-geom/9411016

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