Rational point on K3 surfaces over complex function fields
Zhiyuan Li, Rice

Abstract: We show that for a certain class of Calabi Yau threefolds addressing a K3 fibration, there exists countable many sections with respect to the fibration. Moreover, the union of these sections is Zariski dense in the threefold. We study the subgroup of the Griffiths group of the threefold generated by these sections. Our proof of density replies on the infinite rank of this subgroup.