THE DYNAMICAL MORDELL-LANG PROBLEM FOR ETALE MAPS

被引：0

作者：

Bell, J. P. ^{[1
]}

Ghioca, D. ^{[2
]}

Tucker, T. J. ^{[3
]}

机构：

[1] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

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

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2010年 / 132卷 / 06期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

POINTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a dynamical version of the Mordell Lang conjecture for etale endomorphisms of quasiprojective varieties We use p attic methods inspired by the work of Skolem Mahler and Lech combined with methods from algebraic geometry As special cases of our result we obtain a new proof of the classical Mordell Lang conjecture for cyclic subgroups of a semiabelian variety and we also answer positively a question of Keeler/Rogalski/Stafford for critically dense sequences of closed points of a Noetherian Integral scheme

引用

页码：1655 / 1675

页数：21

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