Periodic points, linearizing maps, and the dynamical Mordell-Lang problem

被引：59

作者：

Ghioca, D. ^{[2
]}

Tucker, T. J. ^{[1
]}

机构：

[1] Univ Rochester, Dept Math, Rochester, NY 14627 USA

[2] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada

来源：

JOURNAL OF NUMBER THEORY | 2009年 / 129卷 / 06期

关键词：

Mordell-Lang conjecture; Dynamics;

D O I：

10.1016/j.jnt.2008.09.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under suitable hypotheses, we prove a dynamical version of the Mordell-Lang conjecture for subvarieties of quasiprojective varieties X, endowed with the action of a morphism Phi : X -> X. We also prove a version of the Mordell-Lang conjecture that holds for any endomorphism of a semiabelian variety. We use an analytic method based on the technique of Skolem, Mahler, and Lech, along with results of Herman and Yoccoz from nonarchimedean dynamics. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1392 / 1403

页数：12

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