Indicators for Plurisubharmonic Functions of Logarithmic Growth

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dc.creatorRashkovskii, Alexander
dc.date1999-11-30
dc.date.accessioned2026-07-07T05:32:01Z
dc.date.available2026-07-07T05:32:01Z
dc.descriptionA notion of indicator for a plurisubharmonic function u of logarithmic growth in C^n is introduced and studied. It is applied to evaluation of the total Monge-Ampère measure (dd^cu)^n({C}^n). Upper bounds for the measure are obtained in terms of growth characteristics of u. When u=log|f| for a polynomial mapping f with isolated zeros, the indicator generates the Newton polyhedron of f whose volume bounds the number of the zeros.
dc.description15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9911240
dc.identifierhttp://arxiv.org/abs/math/9911240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79509
dc.subjectComplex Variables
dc.subject32F05, 32F07
dc.titleIndicators for Plurisubharmonic Functions of Logarithmic Growth
dc.typetext

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