2 8 Ju n 20 02 On positive plurisubharmonic currents Tien - Cuong Dinh April 5 , 2008
نویسنده
چکیده
Let T be a positive plurisubharmonic current of bidimension (p, p) and δ > 0. Assume that the Lelong number of T satisfies ν(T, a) ≥ δ on a dense subset of supp(T) (rectifiable currents satisfy this condition). Then T = ϕ[X], where X is a complex subvariety of pure dimension p and ϕ is a weakly plurisubharmonic function on X. We also show that if T is positive pluriharmonic and its support has locally finite 2p-dimensional Hausdorff measure then T = ϕ[X] for some weakly pluriharmonic function ϕ on X.
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