Potential density for some families of homogeneous spaces
Algebraic Geometry
2011-02-22 v2 Number Theory
Abstract
For a smooth, projective family of homogeneous varieties defined over a number field, we show that if potential density holds for the rational points of the base, then it also holds for the total space. A conjecture of Campana and Peternell, known in dimension at most 4 and for certain higher dimensional cases, would then imply potential density for the rational points of smooth projective varieties over number fields whose tangent bundle is nef.
Keywords
Cite
@article{arxiv.1102.2377,
title = {Potential density for some families of homogeneous spaces},
author = {J. -L. Colliot-Thélène and J. N. Iyer},
journal= {arXiv preprint arXiv:1102.2377},
year = {2011}
}
Comments
10 p