#### Vol. 307, No. 1, 2020

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Local plurisubharmonic defining functions on the boundary

### Luka Mernik

Vol. 307 (2020), No. 1, 221–238
##### Abstract

Necessary conditions for a domain $\Omega \subset {ℂ}^{n}$ 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.

##### Keywords
plurisubharmonic defining functions
Primary: 32T27