Complex manifolds

Lelong number

In mathematics, the Lelong number is an invariant of a point of a complex analytic variety that in some sense measures the local density at that point. It was introduced by Lelong. More generally a closed positive (p,p) current u on a complex manifold has a Lelong number n(u,x) for each point x of the manifold. Similarly a plurisubharmonic function also has a Lelong number at a point. (Wikipedia).

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Related pages

Plurisubharmonic function | Complex analytic variety | Invariant (mathematics) | Current (mathematics) | Complex manifold