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Siu's semicontinuity theorem
In complex analysis, the Siu semicontinuity theorem implies that the Lelong number of a closed positive current on a complex manifold is semicontinuous. More precisely, the points where the Lelong number is at least some constant form a complex subvariety. This was conjectured by and proved by . generalized Siu's theorem to more general versions of the Lelong number.
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