Local Plurisubharmonic Defining Functions on the Boundary
Complex Variables
2020-08-12 v1
Abstract
Necessary conditions for a domain admitting a local plurisubharmonic defining function on the boundary are given. In tandem, we give an algorithm to construct a local plurisubharmonic defining function on the boundary when one exists. In some cases we show that the necessary conditions are also sufficient.
Cite
@article{arxiv.1911.00993,
title = {Local Plurisubharmonic Defining Functions on the Boundary},
author = {Luka Mernik},
journal= {arXiv preprint arXiv:1911.00993},
year = {2020}
}