On p-adic density of rational points on K3 surfaces

René Pannekoek

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arXiv · 1301.7281

On p-adic density of rational points on K3 surfaces

René Pannekoek

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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.

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René Pannekoek. 2013-01-30. On p-adic density of rational points on K3 surfaces. https://arxiv.org/abs/1301.7281

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