Cyclic Automorphisms groups of genus 10 non-hyperelliptic curves

Eslam E. Badr; Mohammed A. Saleem

Cyclic Automorphisms groups of genus 10 non-hyperelliptic curves

Algebraic Geometry 2013-07-09 v2

Authors: Eslam E. Badr , Mohammed A. Saleem

Abstract

In this paper, we list all cyclic automorphisms subgroups $H$ for which there exists a smooth projective non-hyperelliptic sextic curve $C$ with $H\preceq Aut(C)$ . Furthermore, we attach to each group a defining equation of a plane sextic curve having exactly this group as cyclic automorphisms subgroup. These equations cover up to isomorphism all plane non-singular sextic curves having some non-trivial automorphism.

Keywords

algebraic curves automorphism groups genus 10 non-hyperelliptic curves plane sextic curves cyclic subgroups defining equations

Cite

@article{arxiv.1307.1254,
  title  = {Cyclic Automorphisms groups of genus 10 non-hyperelliptic curves},
  author = {Eslam E. Badr and Mohammed A. Saleem},
  journal= {arXiv preprint arXiv:1307.1254},
  year   = {2013}
}

Comments

10 pages. arXiv admin note: text overlap with arXiv:math/0205314 by other authors

Cyclic Automorphisms groups of genus 10 non-hyperelliptic curves

Abstract

Keywords

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