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Newton numbers and residual measures of plurisubharmonic functions

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Rashkovskii A.

Annales Polonici Mathematici

2000

tom 75

nr 3

213-231

We study the masses charged by $(dd^cu)^n$ at isolated singularity points of plurisubharmonic functions u. This is done by means of the local indicators of plurisubharmonic functions introduced in [15]. As a consequence, bounds for the masses are obtained in terms of the directional Lelong numbers of u, and the notion of the Newton number for a holomorphic mapping is extended to arbitrary plurisubharmonic functions. We also describe the local indicator of u as the logarithmic tangent to u.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Rashkovskii A.

1 2000

Wyniki wyszukiwania

Newton numbers and residual measures of plurisubharmonic functions