Extreme plurisubharmonic singularities

• Autorzy: Alexander Rashkovskii
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32U25: Lelong numbers
• 46A55: Convex sets in topological linear spaces; Choquet theory
• 32U35: Pluricomplex Green functions
• 52A99: None of the above, but in this section
• 32U05: Plurisubharmonic functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 255-263

Daty

wydano

2012

Twórcy

autor

Alexander Rashkovskii

• Tek/Nat, University of Stavanger, 4036 Stavanger, Norway

Identyfikatory

DOI

10.4064/ap106-0-20