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
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页码：1 / 12
页数：12
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