Density of rational points on elliptic K3 surfaces

Details Density of rational points on elliptic K3 surfaces Density of rational points on elliptic K3 surfaces

1999-02-15

arxiv.org/abs/math/9902092v1

Mathematics

Algebraic Geometry

27 pages, LaTeX

Scientific paper

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 $K'/K$ such that the set of
$K'$-rational points is Zariski dense in $X$.

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