%0 Journal Article %T Sections of Calabi-Yau threefolds with K3 fibration %A Zhiyuan Li %J Mathematics %D 2011 %I arXiv %X We study sections of a Calabi-Yau threefold fibered over a curve by K3 surfaces. We show that there exist infinitely many isolated sections on certain K3 fibered Calabi-Yau threefolds and the subgroup of the N\'eron-Severi group generated by these sections is not finitely generated. This also gives examples of K3 surfaces over the function field F of a complex curve with Zariski dense F-rational points, whose geometric model is Calabi-Yau. %U http://arxiv.org/abs/1111.2545v1