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

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

2007-07-26

arxiv.org/abs/0707.3948v1

Mathematics

Algebraic Geometry

LaTeX, 22 pages

Scientific paper

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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