6 papers
Total Masses of Mixed Monge-Ampere Currents
Alexander Rashkovskii
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…
Singularities of plurisubharmonic functions and positive closed currents
Alexander Rashkovskii
This is a survey of results, both classical and recent, on behaviour of plurisubharmonic functions near their -points, together with the related topics for positive closed…
Lelong numbers with respect to regular plurisubharmonic weights
Alexander Rashkovskii
Generalized Lelong numbers of plurisubharmonic functions with respect to plurisubharmonic weights (due to Demailly) are specified for weights with multicircled asymptotics. Explici…
Indicators for Plurisubharmonic Functions of Logarithmic Growth
Alexander Rashkovskii
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-Ampère measure (dd^cu…
Newton Numbers and Residual Measures of Plurisubharmonic Functions
Alexander Rashkovskii
We study the masses charged by at isolated singularity points of plurisubharmonic functions . It is done by means of the local indicators of plurisubharmonic functio…
Local Indicators for Plurisubharmonic Functions
Pierre Lelong, Alexander Rashkovskii
A notion of local indicator for a plurisubharmonic function is introduced. The indicator is a certain plurisubharmonic function in the unit polydisc, which controls the behavior of…