English

A note on a question of Shioda about integral sections

Algebraic Geometry 2024-01-02 v1

Abstract

We consider a rational elliptic surface with a relatively minimal fibration. We compute the number of integral sections in the above rational elliptic surface. As an application, we obtain an estimate of polynomial solutions of some equations.

Keywords

Cite

@article{arxiv.2401.00694,
  title  = {A note on a question of Shioda about integral sections},
  author = {Jia-Li Mo},
  journal= {arXiv preprint arXiv:2401.00694},
  year   = {2024}
}

Comments

23 pages, 2 figures

R2 v1 2026-06-28T14:05:52.721Z