Local Plurisubharmonic Defining Functions on the Boundary

Autor: Mernik, Luka
Rok vydání: 2019
Předmět:
Zdroj: Pacific J. Math. 307 (2020) 221-238
Druh dokumentu: Working Paper
DOI: 10.2140/pjm.2020.307.221
Popis: Necessary conditions for a domain $\Omega\subset \mathbb C^n$ 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.
Databáze: arXiv