Sieving rational points on varieties
Number Theory
2018-01-24 v2
Abstract
A sieve for rational points on suitable varieties is developed, together with applications to counting rational points in thin sets, the number of varieties in a family which are everywhere locally soluble, and to the notion of friable rational points with respect to divisors. In the special case of quadrics, sharper estimates are obtained by developing a version of the Selberg sieve for rational points.
Keywords
Cite
@article{arxiv.1705.01999,
title = {Sieving rational points on varieties},
author = {Tim Browning and Daniel Loughran},
journal= {arXiv preprint arXiv:1705.01999},
year = {2018}
}
Comments
30 pages; minor edits (final version)