Extreme plurisubharmonic singularities
Tom 106 / 2012
Annales Polonici Mathematici 106 (2012), 255-263
MSC: Primary 32U05; Secondary 32U25, 32U35, 46A55, 52A99.
DOI: 10.4064/ap106-0-20
Streszczenie
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 case of homogeneous singularities (in particular, those determined by generic holomorphic mappings) in terms of decomposability of certain convex sets in $\mathbb R^n$. Another class of extreme singularities is presented by means of a notion of relative type.
