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UNIRATIONALITY OF CUBIC HYPERSURFACES

Published online by Cambridge University Press:  25 June 2002

János Kollár
Affiliation:
Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, USA (kollar@math.princeton.edu)

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

Type
Research Article
Copyright
2002 Cambridge University Press

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