A Wong-Rosay type theorem for proper holomorphic self-maps
Complex Variables
2008-09-22 v1
Abstract
We show that the only proper-holomorphic self-maps of bounded domains in C^k whose dynamics escape to a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type result for a sequence of maps whose degrees are a priori unbounded.
Cite
@article{arxiv.0809.3335,
title = {A Wong-Rosay type theorem for proper holomorphic self-maps},
author = {Emmanuel Opshtein},
journal= {arXiv preprint arXiv:0809.3335},
year = {2008}
}