Breadcrumb
On p-adic density of rational points on K3 surfaces.
Wed 06 February 2013, 16:00
Rene Pannekoek
Leiden
Organisers: Tim Dokchitser, Daniel Loughran
ABSTRACT
Let p be a prime, E an elliptic curve over the rationals,
and X the Kummer surface of the self-product of E. I will give a sufficient
condition for X(Q) to be dense in X(Q_p). I will give examples of
E such that X(Q) is dense in X(Q_p) for p in a set of primes
with density 1/2. Finally, I will give conditions on E
that imply X(Q) to be dense in X(Q_p) for infinitely many p.