Newton Numbers and Residual Measures of Plurisubharmonic Functions

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dc.creatorRashkovskii, Alexander
dc.date1999-05-11
dc.date.accessioned2026-07-07T05:29:02Z
dc.date.available2026-07-07T05:29:02Z
dc.descriptionWe 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 $u$.
dc.description21 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9905062
dc.identifierhttp://arxiv.org/abs/math/9905062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78483
dc.subjectComplex Variables
dc.subject32F05, 32F07
dc.titleNewton Numbers and Residual Measures of Plurisubharmonic Functions
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