Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
Number Theory
2008-05-13 v1 Algebraic Geometry
Abstract
We prove a dynamical version of the Mordell-Lang conjecture for subvarieties of quasiprojective varieties X, endowed with the action of a morphism f:X --> X. We use an analytic method based on the technique of Skolem, Mahler, and Lech, along with results of Herman and Yoccoz from nonarchimedean dynamics.
Cite
@article{arxiv.0805.1560,
title = {Periodic points, linearizing maps, and the dynamical Mordell-Lang problem},
author = {Dragos Ghioca and Thomas J. Tucker},
journal= {arXiv preprint arXiv:0805.1560},
year = {2008}
}
Comments
14 pages