On the complexity of proper holomorphic mappings between balls
Complex Variables
2009-06-01 v3
Abstract
We make several new contributions to the study of proper holomorphic mappings between balls. Our results include a degree estimate for rational proper maps, a new gap phenomenon for convex families of arbitrary proper maps, and an interesting result about inverse images.
Cite
@article{arxiv.0802.1739,
title = {On the complexity of proper holomorphic mappings between balls},
author = {John P D'Angelo and Jiri Lebl},
journal= {arXiv preprint arXiv:0802.1739},
year = {2009}
}
Comments
19 pages, plain tex; improved exposition, added corollary to Theorem 1, strengthened Theorem 4