English

Torsion Packet Envelope and Rational Points of Algebraic Curves

Number Theory 2026-03-23 v1

Abstract

In this paper, we give an elementary new method for determining the rational points on algebraic curves using torsion packets. We also provide examples of curves for which all rational points can be completely determined by our method.

Keywords

Cite

@article{arxiv.2603.19689,
  title  = {Torsion Packet Envelope and Rational Points of Algebraic Curves},
  author = {Ryo Ichikawa},
  journal= {arXiv preprint arXiv:2603.19689},
  year   = {2026}
}