SIEVING RATIONAL POINTS ON VARIETIES

被引：5

作者：

Browning, Tim ^{[1
,2
]}

Loughran, Daniel ^{[3
]}

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[2] IST Austria, A-3400 Klosterneuburg, Austria

[3] Univ Manchester, Sch Math, Oxford Rd, Manchester M13 9PL, Lancs, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

BOUNDED HEIGHT; TAMAGAWA MEASURES; CIRCLE METHOD; FIBRATIONS; NUMBER; SUMS;

D O I：

10.1090/tran/7514

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An upper bound sieve for rational points on suitable varieties is developed, together with applications to counting rational points in thin sets, to local solubility in families, and to the notion of "friable" rational points with respect to divisors. In the special case of quadrics, sharper estimates are obtained by developing a version of the Selberg sieve for rational points.

引用

页码：5757 / 5785

页数：29

共 36 条

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