Extreme plurisubharmonic singularities

Details Extreme plurisubharmonic singularities Extreme plurisubharmonic singularities

2011-11-09

arxiv.org/abs/1111.2229v1

Mathematics

Complex Variables

9 pages

Scientific paper

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 in the class of homogeneous singularities (in particular, those determined by generic holomorphic mappings) in terms of decomposability of certain convex sets in $\Rn$. Another class of extreme singularities is presented by means of a notion of relative type.

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