## Duke Mathematical Journal

### Potential density of rational points on the variety of lines of a cubic fourfold

#### 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

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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