Rational points on finite covers of P1 and P2

被引：12

作者：

Broberg, N ^{[1
]}

机构：

[1] Univ Durham, Sci Labs, Dept Math Sci, Durham DH1 3LE, England

来源：

JOURNAL OF NUMBER THEORY | 2003年 / 101卷 / 01期

关键词：

rational point; height function; thin set;

D O I：

10.1016/S0022-314X(03)00043-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f : X --> P-Q(2) be a finite cover of degree at least three, where X is integral. We show that a the number of points of f(X(G)) of multiplicative height at most B is O-f,O-epsilon(B2+epsilon) for every epsilon > 0. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：195 / 207

页数：13

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