Lang's height conjecture and Szpiro's conjecture

被引：0

作者：

Silverman, Joseph H. ^{[1
]}

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2010年 / 16卷

基金：

美国国家科学基金会;

关键词：

elliptic curve; canonical height; Szpiro conjecture; Lang conjecture;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that Szpiro's conjecture, or equivalently the ABC-conjecture, implies Lang's conjecture giving a uniform lower bound for the canonical height of nontorsion points on elliptic curves. In this note we show that a significantly weaker version of Szpiro's conjecture, which we call "prime-depleted," suffices to prove Lang's conjecture.

引用

页码：1 / 12

页数：12

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