Higher-dimensional Calabi-Yau varieties with dense sets of rational points
Algebraic Geometry
2021-11-08 v2 Number Theory
Abstract
We construct higher-dimensional Calabi-Yau varieties defined over a given number field with Zariski dense sets of rational points. We give two elementary constructions in arbitrary dimensions as well as another construction in dimension three which involves certain Calabi-Yau threefolds containing an Enriques surface. The constructions also show that potential density holds for (sufficiently) general members of the families.
Keywords
Cite
@article{arxiv.2102.12966,
title = {Higher-dimensional Calabi-Yau varieties with dense sets of rational points},
author = {Fumiaki Suzuki},
journal= {arXiv preprint arXiv:2102.12966},
year = {2021}
}
Comments
10 pages, comments are welcome, v2. the exposition is improved; to appear in European Journal of Mathematics