多项式轨道的交集与动力学 Mordell-Lang 猜想
数论
2009-11-13 v2 代数几何
动力系统
摘要
我们证明，若同次数的非线性复多项式具有无限交集的轨道，则这些多项式拥有共同的迭代。我们还证明了 Mordell-Lang 猜想的一个推测的动力学类比情形的特例。
引用
@article{arxiv.0705.1954,
title = {Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture},
author = {Dragos Ghioca and Thomas J. Tucker and Michael E. Zieve},
journal= {arXiv preprint arXiv:0705.1954},
year = {2009}
}
评论
19 pages; to appear in Inventiones Mathematicae; in this version we modified the exposition in view of the referee's comments