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

被引：0
作者：
Fumiaki Suzuki
机构：
[1] UCLA Mathematics Department,
来源：
European Journal of Mathematics | 2022年 / 8卷
关键词：
Rational points; Calabi–Yau varieties; Elliptic fibrations; 14G05; 14J32; 14J27;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：193 / 204
页数：11
相关论文
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