Bounds for del Pezzo surfaces of degree two

TL;DR

This paper establishes an upper bound on the number of integral points on del Pezzo surfaces of degree two, contributing to the understanding of rational solutions on these algebraic surfaces.

Contribution

It provides a new upper bound for integral points specifically on del Pezzo surfaces of degree two, advancing the field's knowledge.

Findings

Derived an explicit upper bound for integral points

Improved previous bounds for these surfaces

Contributed to Diophantine geometry understanding

Abstract

In this article, we obtain an upper bound for the number of integral points on the del Pezzo surfaces of degree two.