UNIRATIONALITY OF CUBIC HYPERSURFACES

被引：47

作者：

Kollar, Janos ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2002年 / 1卷 / 03期

关键词：

cubic hypersurface; unirational; rational points;

D O I：

10.1017/S1474748002000117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：467 / 476

页数：10