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GREEN FUNCTIONS WITH SINGULARITIES ALONG COMPLEX SPACES

GREEN FUNCTIONS WITH SINGULARITIES ALONG COMPLEX SPACES

We study properties of a Green function G A with 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=(ψ 1 ,…,ψ m ), ψ 1 ,…,ψ m are local generators for …