Free rational points on smooth hypersurfaces
Number Theory
2020-02-20 v2 Algebraic Geometry
Abstract
Motivated by a recent question of Peyre, we apply the Hardy-Littlewood circle method to count "sufficiently free" rational points of bounded height on arbitrary smooth projective hypersurfaces of low degree that are defined over the rational numbers.
Cite
@article{arxiv.1906.08463,
title = {Free rational points on smooth hypersurfaces},
author = {Tim Browning and Will Sawin},
journal= {arXiv preprint arXiv:1906.08463},
year = {2020}
}
Comments
23 pages; minor corrections and clarifications