Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces
Number Theory
2021-09-07 v3 Algebraic Geometry
Abstract
A collection of varieties satisfies uniform potential density if each of them contains a dense subset of rational points after extending its ground field by a bounded degree. In this paper, we prove that uniform potential density holds for connected algebraic groups of a fixed dimension over fields of characteristic zero as well as elliptic K3 surfaces over number fields.
Cite
@article{arxiv.2010.00563,
title = {Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces},
author = {Kuan-Wen Lai and Masahiro Nakahara},
journal= {arXiv preprint arXiv:2010.00563},
year = {2021}
}
Comments
Final version, accepted by International Mathematics Research Notices