An upper bound for the number of $S$-integral points on curves of genus zero
Volume 168 / 2022
Colloquium Mathematicum 168 (2022), 141-147
MSC: Primary 11G30; Secondary 11D41, 14G25, 14H25.
DOI: 10.4064/cm8345-4-2021
Published online: 24 November 2021
Abstract
We consider affine plane algebraic curves of genus zero defined over number fields with three discrete valuations at infinity, and we determine an upper bound for the number of their $S$-integral points.