On automorphisms of quasi-circular domains fixing the origin
Complex Variables
2015-01-28 v3
Abstract
It is known that automorphisms of quasi-circular domains fixing the origin are polynomial mappings. By introducing the so-called resonance order and quasi-resonance order, we provide a uniform upper bound for the degree of such polynomial automorphisms. As a particular consequence of our result, we obtain a generalization of the classical Cartan's theorem for circular domains to the quasi-circular case.
Keywords
Cite
@article{arxiv.1403.7769,
title = {On automorphisms of quasi-circular domains fixing the origin},
author = {Feng Rong},
journal= {arXiv preprint arXiv:1403.7769},
year = {2015}
}
Comments
5 pages, to appear in Bull. Sci. Math