Proper holomorphic maps between bounded symmetric domains revisited
Complex Variables
2015-01-12 v3
Abstract
We prove that a proper holomorphic map between two bounded symmetric domains of the same dimension, one of them being irreducible, is a biholomorphism. Our methods allow us to give a single, all-encompassing argument that unifies the various special cases in which this result is known. We discuss an application of these methods to domains having noncompact automorphism groups that are not assumed to act transitively.
Cite
@article{arxiv.1302.2406,
title = {Proper holomorphic maps between bounded symmetric domains revisited},
author = {Gautam Bharali and Jaikrishnan Janardhanan},
journal= {arXiv preprint arXiv:1302.2406},
year = {2015}
}
Comments
19 pages; typos corrected; missing hypothesis added to the statement of Lemma 4.2; to appear in Pacific J. Math