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Plurisubharmonic extremal functions, Lelong numbers and coherent ideal sheaves

Plurisubharmonic extremal functions, Lelong numbers and coherent ideal sheaves

We introduce a new type of pluricomplex Green function which has a logarithmic pole along a complex subspace A of a complex manifold X.It is the largest negative plurisubharmonic function on X whose Lelong number is at least the Lelong number of log max{|f 1 |, ..., |f m |}, …