Proper holomorphic mappings into $\ell$-concave quadric domains in projective space
Complex Variables
2013-11-11 v1
Abstract
In this paper, we prove a type of partial rigidity result for proper holomorphic mappings of certain -concave domains in projective space into model quadratic -concave domains. The main technical result is a degree estimate for proper holomorphic mappings into the model domains, provided that the mappings extend to projective space as rational mappings, and the source domain contains algebraic varieties and has a boundary with low CR complexity.
Keywords
Cite
@article{arxiv.1311.1833,
title = {Proper holomorphic mappings into $\ell$-concave quadric domains in projective space},
author = {Peter Ebenfelt},
journal= {arXiv preprint arXiv:1311.1833},
year = {2013}
}