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- W2952786274 abstract "We introduce a quantity which measures the singularity of a plurisubharmonic function f relative to another plurisubharmonic function g, at a point a. This quantity, which we denote by $nu_{a,g}(f)$, can be seen as a generalization of the classical Lelong number, in a natural way. The main theorem of this article says that the upper level sets of our generalized Lelong number, i.e. the sets of the form ${z: nu_{z,g}(f) geq c > 0 }$, are in fact analytic sets, under certain conditions on the weight g." @default.
- W2952786274 created "2019-06-27" @default.
- W2952786274 creator A5022471595 @default.
- W2952786274 date "2010-01-20" @default.
- W2952786274 modified "2023-09-27" @default.
- W2952786274 title "A new generalization of the Lelong number" @default.
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- W2952786274 hasPublicationYear "2010" @default.
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