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ArticleOriginal scientific text

Title

Newton numbers and residual measures of plurisubharmonic functions

Authors 1

Affiliations

  1. Mathematical Division, Institute for Low Temperature Physics, 47 Lenin Ave., Kharkov 310164, Ukraine

Abstract

We study the masses charged by (ddcu)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.

Keywords

ENG
Monge-Ampère operator, local indicator, directional Lelong number, plurisubharmonic function, Newton polyhedron

Bibliography

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Annales Polonici Mathematici
2000/75/3
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Pages:
213-231
Main language of publication
English
Received
1999-07-20
Accepted
2000-04-04
Published
2000
Exact and natural sciences