Segre proved that a smooth cubic surface over is unirational if and only if it has a rational point.We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
|Original language||English (US)|
|Number of pages||10|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Published - Jul 2002|
All Science Journal Classification (ASJC) codes
- cubic hypersurface
- rational points