Automorphism groups of non-singular plane curves of degree 5

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.

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

References in corpus (1)

• Plane non-singular curves with an element of "large" order in its automorphism group

Cited by in corpus (1)

• On the locus of smooth plane curves with a fixed automorphism group