Unirationality of cubic hypersurfaces
Algebraic Geometry
2007-05-23 v1
Abstract
Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
Cite
@article{arxiv.math/0005146,
title = {Unirationality of cubic hypersurfaces},
author = {János Kollár},
journal= {arXiv preprint arXiv:math/0005146},
year = {2007}
}
Comments
11 pages, LaTeX