English

Integral points on affine surfaces fibered over $\mathbb{A}^{1}$

Number Theory 2023-11-15 v2 Algebraic Geometry

Abstract

Profitant du travail de pr\'ec\'edent d'Harpaz nous utilisons la m\'ethode de descente-fibration de Swinnerton-Dyer pour \'etudier les points int\'egraux sur des surfaces affines qui sont des fibration de tores de norme 1 sur A1\mathbb{A}^{1}. Taking advantage of previous work of Harpaz we use Swinnerton-Dyer's descent-fibration method to study integral points on affine surfaces which are fibrations of norm 1 tori over A1\mathbb{A}^{1}.

Cite

@article{arxiv.2307.06638,
  title  = {Integral points on affine surfaces fibered over $\mathbb{A}^{1}$},
  author = {H. Uppal},
  journal= {arXiv preprint arXiv:2307.06638},
  year   = {2023}
}
R2 v1 2026-06-28T11:29:13.846Z