On the number of rational points of bounded height on smooth bilinear hypersurfaces in biprojective space

被引：14
作者：
Robbiani, M [1 ]
机构：
[1] Swiss Fed Inst Technol, CH-8092 Zurich, Switzerland
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2001年 / 63卷
关键词：
D O I：
10.1112/S0024610700001617
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Asymptotic formulae for the number of rational points of bounded height on Rag varieties have earlier been established. In the paper these asymptotic formulae are recovered by a new method for varieties in biprojective space defined over Q that are isomorphic to the flag variety of lines in hyperplanes. The result is obtained by an application of Heath-Brown's new form of the circle method. It serves as a pointer to the investigation of rational points of bounded height on varieties in multiprojective space.
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页码：33 / 51
页数：19
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