Bounded rational points on curves
Number Theory
2013-09-05 v2 Algebraic Geometry
Abstract
We establish the sharp estimate <<_d N^{2/d} for the number of rational points of height at most N on an irreducible projective curve of degree d. We deduce this from a result for general hypersurfaces that is sensitive to the coefficients of the corresponding form.
Cite
@article{arxiv.1308.0574,
title = {Bounded rational points on curves},
author = {Miguel N. Walsh},
journal= {arXiv preprint arXiv:1308.0574},
year = {2013}
}
Comments
10 pages