Weighted pluripotential theory on complex Kähler manifolds

Details Weighted pluripotential theory on complex Kähler manifolds Weighted pluripotential theory on complex Kähler manifolds

2008-01-21

arxiv.org/abs/0801.3015v2

Mathematics

Complex Variables

Corrected proof of the domination principle, some notation uniformized, new references added

Scientific paper

We introduce a weighted version of the pluripotential theory on complex
K\"{a}hler manifolds developed by Guedj and Zeriahi. We give the appropriate
definition of a weighted pluricomplex Green function, its basic properties and
consider its behaviour under holomorphic maps. We also establish a
generalization of Siciak's H-principle.

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