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<p>This paper determines the number of outer Galois points for any plane curve in the remaining open cases. Combined with the results so far, this paper indicates that the following conjecture of Yoshihara holds true: The maximal number of outer Galois points is three.</p>

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Determination of the number of outer Galois points for any plane curve

  • 期刊论文

  • 发表日期：

    2025年8月21日

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  • Satoru Fukasawa,
  • Takeshi Takahashi

摘要

This paper determines the number of outer Galois points for any plane curve in the remaining open cases. Combined with the results so far, this paper indicates that the following conjecture of Yoshihara holds true: The maximal number of outer Galois points is three.