Total Masses of Mixed Monge-Ampere Currents

Details Total Masses of Mixed Monge-Ampere Currents Total Masses of Mixed Monge-Ampere Currents

2001-10-23

arxiv.org/abs/math/0110252v1

Mathematics

Complex Variables

21 pages

Scientific paper

Monge-Ampere currents generated by plurisubharmonic functions of logarithmic growth are studied. Upper bounds for their total masses are obtained in terms of growth characteristics of the functions. In particular, this gives a plurisubharmonic version of D.Bernstein's theorem on the number of zeros of polynomial mappings in terms of the Newton polyhedra, and a representation for Demailly's generalized degrees of plurisubharmonic functions.

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