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arXiv · 1911.00993

Local Plurisubharmonic Defining Functions on the Boundary

Luka Mernik
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Abstract

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.

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Luka Mernik. 2019-11-03. Local Plurisubharmonic Defining Functions on the Boundary. https://doi.org/10.2140/pjm.2020.307.221

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