Unirationality of cubic hypersurfaces

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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 languageEnglish (US)
Pages (from-to)467-476
Number of pages10
JournalJournal of the Institute of Mathematics of Jussieu
Volume1
Issue number3
DOIs
StatePublished - Jul 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • cubic hypersurface
  • rational points
  • unirational

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