On p-adic density of rational points on K3 surfaces

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.

6 pages

References in corpus (1)

• On p-torsion of p-adic elliptic curves with additive reduction