Proof of a dynamical Bogomolov conjecture for lines under polynomial actions
Number Theory
2008-09-07 v2 Algebraic Geometry
Abstract
We prove a dynamical version of the Bogomolov conjecture in the special case of lines in affine space A^m under the action of a map (f_1,...,f_m) where each f_i is a polynomial in Q-bar[X] of the same degree.
Cite
@article{arxiv.0808.3263,
title = {Proof of a dynamical Bogomolov conjecture for lines under polynomial actions},
author = {Dragos Ghioca and Thomas J. Tucker},
journal= {arXiv preprint arXiv:0808.3263},
year = {2008}
}
Comments
6 pages; more explanation of the cited results on Julia sets has been added and a few typos have been corrected