Abstract
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) |
|---|---|
| Pages (from-to) | 467-476 |
| Number of pages | 10 |
| Journal | Journal of the Institute of Mathematics of Jussieu |
| Volume | 1 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2002 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- cubic hypersurface
- rational points
- unirational