Integral points on affine quadric surfaces
Algebraic Geometry
2022-10-10 v1 Number Theory
Abstract
It is well-known that the Hasse principle holds for quadric hypersurfaces. The Hasse principle fails for integral points on smooth quadric hypersurfaces of dimension 2 but the failure can be completely explained by the Brauer-Manin obstruction. We investigate how often the family of quadric hypersurfaces has a Brauer-Manin obstruction. We improve previous bounds of Mitankin.
Keywords
Cite
@article{arxiv.2010.11763,
title = {Integral points on affine quadric surfaces},
author = {Tim Santens},
journal= {arXiv preprint arXiv:2010.11763},
year = {2022}
}