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arXiv · 1111.2229

Extreme plurisubharmonic singularities

Alexander Rashkovskii
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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 $\Rn$. Another class of extreme singularities is presented by means of a notion of relative type.

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Alexander Rashkovskii. 2011-11-09. Extreme plurisubharmonic singularities. https://arxiv.org/abs/1111.2229

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