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- W4299670984 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.
- W4299670984 created "2022-10-02" @default.
- W4299670984 creator A5022471595 @default.
- W4299670984 date "2010-01-20" @default.
- W4299670984 modified "2023-09-25" @default.
- W4299670984 title "A new generalization of the Lelong number" @default.
- W4299670984 doi "https://doi.org/10.48550/arxiv.1001.3562" @default.
- W4299670984 hasPublicationYear "2010" @default.
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