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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We show that if the graph of a bounded analytic function in the unit disk D is not complete pluripolar in C then the projection of the closure of its pluripolar hull contains a fine neighborhood of a point p ∈ ∂D. On the other hand we show that if an analytic function f in D extends to a function F which is defined on a fine neighborhood of a point p ∈ ∂D and is finely analytic at p then the pl...
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The visual hull is widely used as a proxy for novel view synthesis in computer vision. This paper introduces the safe hull, the first visual hull reconstruction technique to produce a surface containing only foreground parts. A theoretical basis underlies this novel approach which, unlike any previous work, can also identify phantom volumes attached to real objects. Using an image-based method,...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1999
ISSN: 0026-2285
DOI: 10.1307/mmj/1030132366