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Higher-dimensional Calabi–Yau varieties with dense sets of rational points
- Source :
- European Journal of Mathematics. 8:193-204
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
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.
Details
- ISSN :
- 21996768 and 2199675X
- Volume :
- 8
- Database :
- OpenAIRE
- Journal :
- European Journal of Mathematics
- Accession number :
- edsair.doi...........c78f17bac046371cc83dd0a47671458e