A new characterisation of the Fermat curve
Algebraic Geometry
2024-04-16 v3
Abstract
This paper presents a new characterisation of the Fermat curve, according to the arrangement of Galois points.
Cite
@article{arxiv.2210.02076,
title = {A new characterisation of the Fermat curve},
author = {Satoru Fukasawa},
journal= {arXiv preprint arXiv:2210.02076},
year = {2024}
}
Comments
14 pages. In the second version, the proof for the case where the degree $d$ of the curve is six was added, and the assumption $d \ne 6$ in Theorem was removed. In the third version, the proof for the case $d=4$ was revised