Polynomial maps that are roots of power series
Complex Variables
2007-06-07 v1 Algebraic Geometry
Abstract
We introduce a class of polynomial maps that we call polynomial roots of powerseries, and show that automorphisms with this property generate the automorphism group in any dimension. In particular we determine generically which polynomial maps that preserve the origin are roots of powerseries. We study the one-dimensional case in greater depth.
Cite
@article{arxiv.0706.0788,
title = {Polynomial maps that are roots of power series},
author = {Stefan Maubach and Han Peters},
journal= {arXiv preprint arXiv:0706.0788},
year = {2007}
}
Comments
15 pages