# Integral points on generalised affine Ch\^atelet surfaces

## TL;DR

This paper demonstrates, under Schinzel's hypothesis, that the Brauer--Manin obstruction is the sole barrier to the integral Hasse principle on generalized affine Châtelet surfaces, linking arithmetic obstructions to geometric properties.

## Contribution

It establishes a conditional result identifying the Brauer--Manin obstruction as the only obstacle to the integral Hasse principle for these surfaces.

## Key findings

- Conditional proof based on Schinzel's hypothesis
- Identification of Brauer--Manin obstruction as the only barrier
- Advances understanding of integral points on Châtelet surfaces

## Abstract

We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for generalised affine Ch\^{a}telet surfaces is the Brauer--Manin one.