Automorphism groups of non-singular plane curves of degree 5

Eslam Badr; Francesc Bars

doi:10.1080/00927872.2015.1087547

Automorphism groups of non-singular plane curves of degree 5

Algebraic Geometry 2016-07-01 v1

Authors: Eslam Badr , Francesc Bars

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Abstract

Henn and Komiya-Kuribayashi listed, independently, the groups $G$ for which $\widetilde{M_3^{Pl}(G)}$ is non-empty. In this paper, we determine the loci $\widetilde{M_6^{Pl}(G)}$ , corresponding to non-singular degree $5$ projective plane curves, which are non-empty. Also, we present the analogy of Henn's results for quartic curves concerning non-singular plane model equations associated to these loci.

Keywords

automorphism groups non-singular plane curves moduli spaces projective plane curves degree 5 curves quartic curves plane model equations

Cite

@article{arxiv.1510.06190,
  title  = {Automorphism groups of non-singular plane curves of degree 5},
  author = {Eslam Badr and Francesc Bars},
  journal= {arXiv preprint arXiv:1510.06190},
  year   = {2016}
}

Comments

This is a recent version of chapter 3 of arXiv:1503.01149 The final version will appear in Communications in Algebra

Automorphism groups of non-singular plane curves of degree 5

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