Journal article

Computing the pluricomplex Green function with two poles

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Author list: Wikström, Frank

Publication year: 2003

Start page: 375

End page: 384

Number of pages: 10

ISSN: 1058-6458

View additional information: View in Web of Science


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 Comans 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 Comans conjecture fails in the case of two poles of different weight in the unit ball of $C2$.


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Last updated on 2017-06-10 at 09:44