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 50 条

[1] A Note on Lawton's Theorem
Dobrowolski, Edward
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2017, 60 (03): : 484 - 489
[2] Note on Cowling's theorem
Ingraham, R.L.
Physica Scripta, 1995, 52 (01):
[3] A Note on Schnyder's Theorem
Barrera-Cruz, Fidel
Haxell, Penny
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2011, 28 (02): : 221 - 226
[4] A NOTE ON KNESER'S THEOREM
Chen, Xuesheng
Yuan, Pingzhi
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2006, 6 (01): : 77 - 83
[5] A note on Mirsky's theorem
Hadwin, Don
Radjavi, Heydar
LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 603 : 186 - 189
[6] A note on Holsztynski's theorem
Araujo, J
Font, JJ
Hernandez, S
PAPERS ON GENERAL TOPOLOGY AND APPLICATIONS: TENTH SUMMER CONFERENCE AT AMSTERDAM, 1996, 788 : 9 - 12
[7] A Note on Peirce's Theorem
Song, Lixia
Liu, Haisheng
Shu, Yang
ADVANCES IN COMPUTER SCIENCE, ENVIRONMENT, ECOINFORMATICS, AND EDUCATION, PT 5, 2011, 218 : 402 - 406
[8] A note on Tchakaloff's theorem
Putinar, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (08) : 2409 - 2414
[9] A Note on Schnyder’s Theorem
Fidel Barrera-Cruz
Penny Haxell
Order, 2011, 28 : 221 - 226
[10] A note on Veraverbeke's theorem
Zachary, S
QUEUEING SYSTEMS, 2004, 46 (1-2) : 9 - 14

← 1 2 3 4 5 →