Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-29T08:05:20.680Z Has data issue: false hasContentIssue false
  • English
  • Français

UNIRATIONALITY OF CUBIC HYPERSURFACES

Published online by Cambridge University Press:  25 June 2002

János Kollár
János Kollár
Affiliation:
Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, USA (kollar@math.princeton.edu)
Get access Rights & Permissions [Opens in a new window]

Abstract

Segre proved that a smooth cubic surface over $Q$ 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.

AMS 2000 Mathematics subject classification: Primary 14G05; 14G15. Secondary 11G25; 11D25

Keywords

cubic hypersurfaceunirationalrational points
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 1 , Issue 3 , July 2002 , pp. 467 - 476
Copyright
2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)