10 citations · 26 across the 29 of their papers we have counts for
4 papers · 2 filters
Extreme plurisubharmonic singularities
Alexander Rashkovskii
A plurisubharmonic singularity is extreme if it cannot be represented as the sum of non-homothetic singularities. A complete characterization of such singularities is given for the…
Special polyhedra for Reinhardt domains
Alexander Rashkovskii, Vyacheslav Zakharyuta
We show that every bounded hyperconvex Reinhardt domain can be approximated by special polynomial polyhedra defined by homogeneous polynomial mappings. This is achieved by means of…
Multi-circled singularities, Lelong numbers, and integrability index
Alexander Rashkovskii
By comparing Green functions of multi-circled plurisubharmonic singularities in the n-domensional complex space to their indicators, we obtain formulas for the higher Lelong number…
Limits of multipole pluricomplex Green functions
Jon I. Magnusson, Alexander Rashkovskii, Ragnar Sigurdsson +1
Let be a set of points in a bounded hyperconvex domain in , all tending to 0 as tends to 0. To each set we associate its vanishing ideal and the pluri…