On p-adic density of rational points on K3 surfaces
Number Theory
2013-01-31 v1
Abstract
We show that, for every prime number p, there exist infinitely many K3 surfaces over Q whose rational points lie dense in the space of p-adic points. We also show that there exists a K3 surface over Q whose rational points lie dense in the space of p-adic points for all prime numbers p with p congruent to 3 mod 4 and greater than 7.
Cite
@article{arxiv.1301.7281,
title = {On p-adic density of rational points on K3 surfaces},
author = {René Pannekoek},
journal= {arXiv preprint arXiv:1301.7281},
year = {2013}
}
Comments
6 pages