Strong Stein neighborhood bases
Complex Variables
2021-03-08 v4
Abstract
Let D be a smooth bounded pseudoconvex domain in C^n. We give several characterizations for the closure of D to have a strong Stein neighborhood basis in the sense that D has a defining function r such that {z\in C^n:r(z)<a} is pseudoconvex for sufficiently small a>0. We also show that this condition is invariant under proper holomorphic maps that extend smoothly to the boundary.
Keywords
Cite
@article{arxiv.0705.0507,
title = {Strong Stein neighborhood bases},
author = {Sonmez Sahutoglu},
journal= {arXiv preprint arXiv:0705.0507},
year = {2021}
}