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.

引用

页码：251 / 260

页数：10

共 14 条

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[10] Bombieri E, 2008, ANN SCUOLA NORM-SCI, V7, P51

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