A Note on Maurin's Theorem

被引：21
|
作者：
Bombieri, E. [1 ]
Habegger, P. [2 ]
Masser, D. [3 ]
Zannier, U. [4 ]
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
[2] ETH, Dept Math, CH-8092 Zurich, Switzerland
[3] Univ Basel, Inst Math, CH-4051 Basel, Switzerland
[4] Scuola Normale Super Pisa, I-56126 Pisa, Italy
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2010年 / 21卷 / 03期
关键词：
Diophantine geometry; multiplicative dependence; Zilber conjecture; ALGEBRAIC SUBGROUPS; EQUATIONS; POINTS;
D O I：
10.4171/RLM/570
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We combine the strategy described in a paper of the first, third and fourth authors with a recent result of the second author to obtain a new proof of Maurids Theorem to the effect that the points satisfying two independent multiplicative relations on a fixed algebraic curve form a finite set when there is no natural obstacle.
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页码：251 / 260
页数：10
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