About: Siu's semicontinuity theorem

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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 Siu . generalized Siu's theorem to more general versions of the Lelong number.

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dbo:abstract	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 Siu . generalized Siu's theorem to more general versions of the Lelong number. (en)
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dbp:authorlink	Yum Tong Siu (en)
dbp:last	Siu (en)
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rdfs:comment	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 Siu . generalized Siu's theorem to more general versions of the Lelong number. (en)
rdfs:label	Siu's semicontinuity theorem (en)
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