Certain classes of pluricomplex Green functions on ℂn

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5 Scopus citations


We consider (pluricomplex) Green functions defined on ℂn, with logarithmic poles in a finite set and with logarithmic growth at infinity. For certain sets, we describe all the corresponding Green functions. The set of these functions is large and it carries a certain algebraic structure. We also show that for some sets no such Green functions exist. Our results indicate the fact that the set of poles should have certain algebro-geometric properties in order for these Green functions to exist.

Original languageEnglish (US)
Pages (from-to)111-122
Number of pages12
JournalMathematische Zeitschrift
Issue number1
StatePublished - Sep 2000
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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