Automorphism groups of non-singular plane curves of degree 5

Abstract

Henn and Komiya-Kuribayashi listed, independently, the groups G for which M3Pl(G) is non-empty. In this paper, we determine the loci M6Pl(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.

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