The Skoda–El Mir theorem is a theorem of complex geometry, stated as follows:
Theorem ( Skoda, [1] El Mir, [2] Sibony [3]). Let X be a complex manifold, and E a closed complete pluripolar set in X. Consider a closed positive current on which is locally integrable around E. Then the trivial extension of to X is closed on X.
The Skoda–El Mir theorem is a theorem of complex geometry, stated as follows:
Theorem ( Skoda, [1] El Mir, [2] Sibony [3]). Let X be a complex manifold, and E a closed complete pluripolar set in X. Consider a closed positive current on which is locally integrable around E. Then the trivial extension of to X is closed on X.