Proper holomorphic mappings between complex ellipsoids and generalized Hartogs triangles
Complex Variables
2017-09-18 v3
Abstract
The explicit form of proper holomorphic mappings between complex ellipsoids is given. Using this description, we characterize the existence of proper holomorphic mappings between generalized Hartogs triangles and give their explicit form. In particular, the automorphism group of such domains is found.
Cite
@article{arxiv.1211.0786,
title = {Proper holomorphic mappings between complex ellipsoids and generalized Hartogs triangles},
author = {Pawel Zapalowski},
journal= {arXiv preprint arXiv:1211.0786},
year = {2017}
}
Comments
The results of this paper are contained in my article "Proper holomorphic mappings between generalized Hartogs triangles" (see arXiv:1601.01806 ), where more general result is presented