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arxiv: 0808.0313 · v1 · submitted 2008-08-03 · 🧮 math.CV

On a local characterization of pseudoconvex domains

classification 🧮 math.CV
keywords pointboundarycharacterizationdefineddescribeddomaindomainsexistence
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Pseudoconvexity of a domain in $\Bbb C^n$ is described in terms of the existence of a locally defined plurisubharmonic/holomorphic function near any boundary point that is unbounded at the point.

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