Indicators for Plurisubharmonic Functions of Logarithmic Growth

Details Indicators for Plurisubharmonic Functions of Logarithmic Growth Indicators for Plurisubharmonic Functions of Logarithmic Growth

1999-11-30

arxiv.org/abs/math/9911240v1

Mathematics

Complex Variables

15 pages, LaTeX

Scientific paper

A 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-Amp\`ere 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.

Affiliated with

Also associated with

No associations

Rating

Indicators for Plurisubharmonic Functions of Logarithmic Growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Indicators for Plurisubharmonic Functions of Logarithmic Growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Indicators for Plurisubharmonic Functions of Logarithmic Growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295537