Green functions with analytic singularities

Alexander Rashkovskii, Ragnar Sigurdsson

Research output: Contribution to journalArticlepeer-review

Abstract

We study properties of a Green function with singularities determined by a closed complex subspace A of a complex manifold X. It is defined as the largest negative plurisubharmonic function u satisfying locally u ≤ log ψ + O(1), where ψ = (ψ1,..., ψm) with ψ1,...,ψm local generators for the ideal sheaf IA of A.

Original languageEnglish
Pages (from-to)479-482
Number of pages4
JournalComptes Rendus Mathematique
Volume340
Issue number7
DOIs
Publication statusPublished - 1 Apr 2005

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