A criterion for a proper rational map to be equivalent to a proper polynomial map
Complex Variables
2007-10-26 v2
Abstract
In this paper, we give an explicit criterion when a rational holomorphic map between balls is equivalent to a polynomial holomorphic map. Making use of this criterion, we show that any proper rational holomorphic map from B^2 into B^N of degree two is equivalent to a polynomial holomorphic map; we also construct rational holomorphic maps of degree 3 that are almost linear but are not equivalent to polynomial holomorphic maps.
Cite
@article{arxiv.0710.4597,
title = {A criterion for a proper rational map to be equivalent to a proper polynomial map},
author = {Xiaojun Huang and Shanyu Ji and Yuan Zhang},
journal= {arXiv preprint arXiv:0710.4597},
year = {2007}
}
Comments
13 pages. Dedicated to Professor J. Kohn on the occasion of his 75th birthday