Density of rational points on elliptic K3 surfaces

Abstract

Let $X$ be a K3 surface defined over a number field $K$. Assume that $X$ admits a structure of an elliptic fibration or an infinite group of automorphisms. Then there exists a finite extension $K^{\prime }/K$ such that the set of $K^{\prime }$-rational points is Zariski dense in $X$.

27 pages, LaTeX

Cited by in corpus (1)

• On the rank of the fibers of elliptic K3 surfaces