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Lelong numbers with respect to regular plurisubharmonic weights

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Abstract

Generalized Lelong numbers v(T, φ) due to Demailly are specified for the case of positive closed currents T = dd cu and plurisubharmonic weights φ with multicircled asymptotics. Explicit formulas for these values are obtained in terms of the directional Lelong numbers of the functions u and the Newton diagrams of φ. An extension of Demailly’s approximation theorem is proved as well.

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  1. Mathematical Division, Institute for Low Temperature Physics, 47 Lenin Ave., Kharkov, 61164, Ukraine

    Alexander Rashkovskii

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  1. Alexander Rashkovskii
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Correspondence to Alexander Rashkovskii.

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Rashkovskii, A. Lelong numbers with respect to regular plurisubharmonic weights. Results. Math. 39, 320–332 (2001). https://doi.org/10.1007/BF03322692

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