2001/10/23 by Alexander Rashkovskii, Rashkovskii, Alexander
Mathematics · #32A60 #32H99 #32U05 #32U40 #32W20 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32A60 #msc:32H99 #msc:32U05 #msc:32U40 #msc:32W20
paper · pdf · doi:10.48550/arxiv.math/0110252
21 pages
arxiv created 2001/10/23 · arxiv updated 2009/11/30
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.