Quasiplurisubharmonic Green functions

Dan Coman, Vincent Guedj

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

Given a compact Kähler manifold X, a quasiplurisubharmonic function is called a Green function with pole at p ∈ X if its Monge-Ampère measure is supported at p. We study in this paper the existence and properties of such functions, in connection to their singularity at p. A full characterization is obtained in concrete cases, such as (multi)projective spaces.

Original languageEnglish (US)
Pages (from-to)456-475
Number of pages20
JournalJournal des Mathematiques Pures et Appliquees
Volume92
Issue number5
DOIs
StatePublished - Nov 2009

Keywords

  • (Quasi)plurisubharmonic functions
  • Kähler manifolds
  • Lelong numbers
  • Positive closed currents

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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