Skoda–El Mir theorem

The Skoda–El Mir theorem is a theorem of complex geometry, stated as follows:

Theorem (Skoda, El Mir, Sibony ). Let X be a complex manifold, and E a closed complete pluripolar set in X. Consider a closed positive current $$\Theta$$ on $$ X \backslash E$$ which is locally integrable around E. Then the trivial extension of $$\Theta$$ to X is closed on X.