Bounding the order of automorphisms of certain curves

Fernando Torres

Bounding the order of automorphisms of certain curves

alg-geom 2015-06-30 v2 Algebraic Geometry

Authors: Fernando Torres

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

Keywords

automorphism group curve covering genus prime order

Cite

@article{arxiv.alg-geom/9411016,
  title  = {Bounding the order of automorphisms of certain curves},
  author = {Fernando Torres},
  journal= {arXiv preprint arXiv:alg-geom/9411016},
  year   = {2015}
}

Comments

19 pages. Reason for resubmission: I improved all the results of the previous: "automorphisms of double coverings of curves". Latex v. 2.1

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