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2003 Computing the Pluricomplex Green Function with Two Poles
Frank Wikström
Experiment. Math. 12(3): 375-384 (2003).

Abstract

We look at numerical computations of the pluricomplex Green function g with two poles of equal weight for the bidisk. The results we obtain strongly suggest that Coman's conjecture holds in this setting, that is that g equals the Lempert function. We also prove this in a special case.

Furthermore, we show that Coman's conjecture fails in the case of two poles of different weight in the unit ball of $\C2$.

Citation

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Frank Wikström. "Computing the Pluricomplex Green Function with Two Poles." Experiment. Math. 12 (3) 375 - 384, 2003.

Information

Published: 2003
First available in Project Euclid: 15 June 2004

zbMATH: 1078.32021
MathSciNet: MR2034400

Subjects:
Primary: 32U35
Secondary: 32F45

Rights: Copyright © 2003 A K Peters, Ltd.

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Vol.12 • No. 3 • 2003
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