Certain classes of pluricomplex Green functions on ℂn

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

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
Volume235
Issue number1
DOIs
StatePublished - Sep 2000
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Certain classes of pluricomplex Green functions on ℂ<sup>n</sup>'. Together they form a unique fingerprint.

  • Cite this