منابع مشابه
Pluripolar Graphs Are Holomorphic
Let Ω be a domain in C and let f : Ω → C be a continuous function. We prove that the graph Γ(f) of the function f is a pluripolar subset of C if and only if f is holomorphic.
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We prove that on a compact Kähler manifold, the non-pluripolar MongeAmpère mass of a θ-psh function decreases as the singularities increase. This was conjectured by Boucksom-Eyssidieux-Guedj-Zeriahi who proved it under the additional assumption of the functions having small unbounded locus. As a corollary we get a comparison principle for θ-psh functions, analogous to the comparison principle f...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2004
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap84-3-5