Sections of Calabi-Yau threefolds with K3 fibration
Algebraic Geometry
2011-11-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1111.2545,
title = {Sections of Calabi-Yau threefolds with K3 fibration},
author = {Zhiyuan Li},
journal= {arXiv preprint arXiv:1111.2545},
year = {2011}
}
Comments
18pages