Mathematics – Complex Variables
Scientific paper
2002-06-28
Mathematics
Complex Variables
18 pages
Scientific paper
Let T be a positive plurisubharmonic current of bidimension (p,p) and let $\delta>0$. Assume that the Lelong number of T satisfies $\nu(T,a)\geq \delta$ on a dense subset of supp(T) (rectifiable currents satisfy this condition). Then $T=\phi[X]$, where X is a complex subvariety of pure dimension p and $\phi$ is a weakly plurisubharmonic function on X. We have an analogous result for plurisuperharmonic currents. We also introduce and study a notion of polynomial p-hull.
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