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arXiv · 0707.3948

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

Ekaterina Amerik·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 group equal to $\mathbb{Z}$.

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Ekaterina Amerik, Claire Voisin. 2007-07-26. Potential density of rational points on the variety of lines of a cubic fourfold. https://arxiv.org/abs/0707.3948

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