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Determining all (2,3)-torus structures of a symmetric plane curve

Remke Kloosterman Università degli Studi di Padova

Algebraic Geometry mathscidoc:1912.43020

Arkiv for Matematik, 56, (2), 341 – 349, 2018
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.
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@inproceedings{remke2018determining,
  title={Determining all (2,3)-torus structures of a symmetric plane curve},
  author={Remke Kloosterman},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204103518071829576},
  booktitle={Arkiv for Matematik},
  volume={56},
  number={2},
  pages={341 – 349},
  year={2018},
}
Remke Kloosterman. Determining all (2,3)-torus structures of a symmetric plane curve. 2018. Vol. 56. In Arkiv for Matematik. pp.341 – 349. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204103518071829576.
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