Kodai Mathematical Journal

Automorphism groups of smooth plane curves

Takeshi Harui

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Abstract

The author classifies finite groups acting on smooth plane curves of degree at least four. Furthermore, he gives an upper bound for the order of automorphism groups of smooth plane curves and determines the exceptional cases in terms of defining equations. This paper also contains a simple proof of the uniqueness of smooth plane curves with the full automorphism group of maximum order for each degree.

Article information

Source
Kodai Math. J., Volume 42, Number 2 (2019), 308-331.

Dates
First available in Project Euclid: 2 July 2019

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1562032832

Digital Object Identifier
doi:10.2996/kmj/1562032832

Mathematical Reviews number (MathSciNet)
MR3981307

Zentralblatt MATH identifier
07108014

Citation

Harui, Takeshi. Automorphism groups of smooth plane curves. Kodai Math. J. 42 (2019), no. 2, 308--331. doi:10.2996/kmj/1562032832. https://projecteuclid.org/euclid.kmj/1562032832


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