A classification of proper holomorphic mappings between generalized pseudoellipsoids of different dimensions
Complex Variables
2018-09-12 v1
Abstract
We classify proper holomorphic mappings between generalized pseudoellipsoids of different dimensions. Those domains are parametrized by the exponents. The relations among them are also obtained. Main tool is the orthogonal decomposition of a CR bundle. Such a decomposition derives the `variable-splitting' of the mapping.
Keywords
Cite
@article{arxiv.1809.03691,
title = {A classification of proper holomorphic mappings between generalized pseudoellipsoids of different dimensions},
author = {Atsushi Hayashimoto},
journal= {arXiv preprint arXiv:1809.03691},
year = {2018}
}
Comments
15 pages