Abstract
We study properties of a Green function GAwith singularities along a complex subspace A of a complex manifold X. It is defined as the largest negative plurisubharmonic function u satisfying locally u≤ log |ψ|+C, where ψ=(ψ1,…,ψm), ψ1,…,ψmare local generators for the ideal sheaf ℐAof A, and C is a constant depending on the function u and the generators. A motivation for this study is to estimate global bounded functions from the sheaf ℐAand thus proving a "Schwarz lemma" for ℐA.
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