A counterexample to the existence of a local plurisubharmonic peak function at infinity

Park, Sung-Hee

doi:10.1090/S0002-9939-04-07699-3

A counterexample to the existence of a local plurisubharmonic peak function at infinity
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Proc. Amer. Math. Soc. 133 (2005), 1463-1467 Request permission

Abstract:

We give an example of an unbounded pseudoconvex Reinhardt domain in $\mathbb {C}^n,\ n\ge 4$, which is Kobayashi complete but admits no local plurisubharmonic peak function at infinity.

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