The dynamical Mordell-Lang problem for intersection of two orbits

JOURNAL OF NUMBER THEORY

卷:207

Article

Rout, Sudhansu Sekhar¹ 

[1] Inst Math & Applicat, Bhubaneswar 751029, Odisha, India

关键词: Dynamical Mordell-Lang conjecture;    Algebraic variety;    Linear recurrence sequences;    Morphisms;    Orbit intersections;   

DOI  :  10.1016/j.jnt.2019.07.003

来源: Elsevier

【 摘 要 】

Let X be an algebraic variety defined over C, let alpha is an element of X(C) and Phi : X -> X be a morphism. The Dynamical Mordell-Lang conjecture describes the intersection of an orbit Orb(Phi)(alpha) with a closed subvariety of X. In this paper, we study the intersections of orbits in polynomial dynamics. In particular, various upper bounds are derived for the orbit intersection problem when X is an affine n-space and self maps are polynomial morphisms of special type. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free