Corpus ID: 207787388

Torsion points on Fermat quotients of the form $y^n = x^d + 1$

@inproceedings{Arul2019TorsionPO,
  title={Torsion points on Fermat quotients of the form \$y^n = x^d + 1\$},
  author={Vishal Arul},
  year={2019}
}
  • Vishal Arul
  • Published 2019
  • Mathematics
  • We classify all geometric torsion points on the Fermat quotients $y^n = x^d + 1$ where $n, d \ge 2$ are coprime. In addition, we classify all geometric torsion points on the generic superelliptic curve $y^n = (x - a_1) \cdots (x - a_d)$, extending a result of Poonen and Stoll in the hyperelliptic $n = 2$ case. 

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