arXiv math/99050621999-05-11math.CV

Newton Numbers and Residual Measures of Plurisubharmonic Functions

Alexander Rashkovskii

备注：: 21 pages, LaTeX

英文摘要：

We study the masses charged by $(dd^cu)^n$ at isolated singularity points of plurisubharmonic functions $u$. It is done by means of the local indicators of plurisubharmonic functions. 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 $u$.

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