Rational curves on smooth cubic hypersurfaces over finite fields

Tim Browning, Pankaj Vishe

Research output: Working paperPreprint


Let k be a finite field with characteristic exceeding 3. We prove that the space of rational curves of fixed degree on any smooth cubic hypersurface over k with dimension at least 11 is irreducible and of the expected dimension.
Original languageEnglish
Number of pages12
Publication statusUnpublished - 17 Feb 2015

Bibliographical note

12 pages


  • math.AG
  • math.NT
  • 14H10, 11P55, 14G05

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