Rational points on singular intersections of quadrics

被引：10
|
作者：
Browning, T. D. [1 ]
Munshi, R. [2 ]
机构：
[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
[2] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
来源：
COMPOSITIO MATHEMATICA | 2013年 / 149卷 / 09期
基金：
英国工程与自然科学研究理事会;
关键词：
Hardy-Littlewood circle method; pairs of quadratic forms; rational points; CHATELET SURFACES; CUBIC FORMS; VARIETIES;
D O I：
10.1112/S0010437X13007185
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given an intersection of two quadrics X subset of Pm-1, with m >= 9, the quantitative arithmetic of the set X (Q) is investigated under the assumption that the singular locus of X consists of a pair of conjugate singular points defined over Q (i).
引用
收藏
页码：1457 / 1494
页数：38
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