Extreme plurisubharmonic singularities

Alexander Rashkovskii. "Extreme plurisubharmonic singularities." Annales Polonici Mathematici 106.1 (2012): 255-263. <http://eudml.org/doc/280731>.

@article{AlexanderRashkovskii2012,
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.},
author = {Alexander Rashkovskii},
journal = {Annales Polonici Mathematici},
keywords = {plurisubharmonic singularity; pluricomplex Green function; relative type; Newton polyhedron},
language = {eng},
number = {1},
pages = {255-263},
title = {Extreme plurisubharmonic singularities},
url = {http://eudml.org/doc/280731},
volume = {106},
year = {2012},
}

TY - JOUR
AU - Alexander Rashkovskii
TI - Extreme plurisubharmonic singularities
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 255
EP - 263
AB - 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.
LA - eng
KW - plurisubharmonic singularity; pluricomplex Green function; relative type; Newton polyhedron
UR - http://eudml.org/doc/280731
ER -