Duke Mathematical Journal
- Duke Math. J.
- Volume 145, Number 2 (2008), 379-408.
Potential density of rational points on the variety of lines of a cubic fourfold
Ekaterina Amerik and Claire Voisin
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Abstract
We prove the potential density of rational points on the variety of lines of a sufficiently general cubic fourfold defined over a number field, where “sufficiently general” means that a condition of Terasoma type is satisfied. These varieties have trivial canonical bundle and have geometric Picard number equal to one
Article information
Source
Duke Math. J., Volume 145, Number 2 (2008), 379-408.
Dates
First available in Project Euclid: 20 October 2008
Permanent link to this document
https://projecteuclid.org/euclid.dmj/1224508841
Digital Object Identifier
doi:10.1215/00127094-2008-055
Mathematical Reviews number (MathSciNet)
MR2449951
Zentralblatt MATH identifier
1157.14012
Subjects
Primary: 14G05: Rational points
Citation
Amerik, Ekaterina; Voisin, Claire. Potential density of rational points on the variety of lines of a cubic fourfold. Duke Math. J. 145 (2008), no. 2, 379--408. doi:10.1215/00127094-2008-055. https://projecteuclid.org/euclid.dmj/1224508841
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