Counting points of fixed degree and bounded height on linear varieties

被引：4

作者：

Widmer, Martin ^{[1
,2
]}

机构：

[1] Univ Basel, Math Inst, CH-4051 Basel, Switzerland

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

JOURNAL OF NUMBER THEORY | 2010年 / 130卷 / 08期

基金：

瑞士国家科学基金会;

关键词：

Height; Northcott's Theorem; Linear varieties; Counting; RATIONAL-POINTS; SUBSPACES; EQUATIONS; THEOREM; NUMBER;

D O I：

10.1016/j.jnt.2010.03.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We count points of fixed degree and bounded height on a linear projective variety defined over a number field k. If the dimension of the variety is large enough compared to the degree we derive asymptotic estimates as the height tends to infinity. This generalizes results of Thunder, Christensen and Gubler and special cases of results of Schmidt and Gao. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1763 / 1784

页数：22

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