Density of rational points on elliptic K3 surfaces

Fedor Bogomolov; Yuri Tschinkel

Density of rational points on elliptic K3 surfaces

Algebraic Geometry 2007-05-23 v1 Number Theory

Authors: Fedor Bogomolov , Yuri Tschinkel

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

Keywords

algebraic surfaces automorphisms of algebraic surfaces rational maps

Cite

@article{arxiv.math/9902092,
  title  = {Density of rational points on elliptic K3 surfaces},
  author = {Fedor Bogomolov and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:math/9902092},
  year   = {2007}
}

Comments

27 pages, LaTeX

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