Free rational points on smooth hypersurfaces
Abstract
Motivated by a recent question of Peyre, we apply the HardyLittlewood 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.
 Publication:

arXiv eprints
 Pub Date:
 June 2019
 arXiv:
 arXiv:1906.08463
 Bibcode:
 2019arXiv190608463B
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Algebraic Geometry;
 11P55 (11D45;
 14G05)
 EPrint:
 23 pages