Extreme plurisubharmonic singularities
Complex Variables
2012-05-16 v2
Abstract
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 . Another class of extreme singularities is presented by means of a notion of relative type.
Keywords
Cite
@article{arxiv.1111.2229,
title = {Extreme plurisubharmonic singularities},
author = {Alexander Rashkovskii},
journal= {arXiv preprint arXiv:1111.2229},
year = {2012}
}
Comments
10 pages; final form, to appear in Ann. Polon. Math