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

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 نشر من قبل Fumiaki Suzuki
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Fumiaki Suzuki




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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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