Integral points on generalised affine Châtelet surfaces

Abstract

We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for generalised affine Châtelet surfaces is the Brauer--Manin one.

17 pages, submitted

References in corpus (4)

• Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• Integral Brauer-Manin obstructions for sums of two squares and a power
• On the distribution of $\text{Cl}(K)[l^{\infty }]$ for degree $l$ cyclic fields
• Obstructions to integral points on affine Châtelet surfaces