Indicators for Plurisubharmonic Functions of Logarithmic Growth
Alexander Rashkovskii
Abstract
A notion of indicator for a plurisubharmonic function u of logarithmic growth in Cn is introduced and studied. It is applied to evaluation of the total Monge-Ampère measure (ddcu)n(Cn). 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.
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