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arXiv · 2102.12966

Higher-dimensional Calabi-Yau varieties with dense sets of rational points

Fumiaki Suzuki
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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.

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Fumiaki Suzuki. 2021-02-25. Higher-dimensional Calabi-Yau varieties with dense sets of rational points. https://arxiv.org/abs/2102.12966

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