Arkiv för Matematik
Volume 56 (2018)
Determining all $(2, 3)$-torus structures of a symmetric plane curve
Pages: 341 – 349
In this paper, we describe all $(2, 3)$-torus structures of a highly symmetric $39$-cuspidal degree $12$ curve.
A direct computer-aided determination of these torus structures seems to be out of reach. We use various quotients by automorphisms to find torus structures. We use a height pairing argument to show that there are no further structures.
The author has been supported by the GNSAGA of INDAM. The author gratefully thanks Carel Faber, Matthias Schütt and the referee for the constructive comments and recommendations which definitely helped to improve the readability of the paper.
Received 26 January 2017
Received revised 9 January 2018
Published 10 December 2018