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Abstract
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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.
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Keywords
plurisubharmonic defining functions
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Mathematical Subject Classification 2010
Primary: 32T27
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Milestones
Received: 4 November 2019
Revised: 17 March 2020
Accepted: 21 March 2020
Published: 8 August 2020
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