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

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

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 a...

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Veröffentlicht in:European journal of mathematics 2022-03, Vol.8 (1), p.193-204
1. Verfasser: Suzuki, Fumiaki
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Algebraic Geometry
Mathematics
Mathematics and Statistics
Number theory
Research Article
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description 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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Mathematics
Mathematics and Statistics
Number theory
Research Article
title Higher-dimensional Calabi–Yau varieties with dense sets of rational points
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