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Exceptional sets for holomorphic mappings. - MaRDI portal

Exceptional sets for holomorphic mappings. (Q1396079)

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scientific article; zbMATH DE number 1941854
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Exceptional sets for holomorphic mappings.
scientific article; zbMATH DE number 1941854

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    Exceptional sets for holomorphic mappings. (English)
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    2002
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    The paper under review is a survey on the exceptional sets for holomorphic mappings. Let \(F:\mathbb{C}^m\to\mathbb{C}^n\) be nondegenerate holomorphic mappings and \(B(0,r)\) the Euclidean ball at the center origin and radius \(r\). Set \(X_a= F^{-1}(a)\) for \(a\in \mathbb{C}^n\). Then problems on estimates for upper bounds for the area \(X_a\cap B(0,r)\) and related topics are dealt with.
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    holomorphic mapping
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    exceptional set
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    pluri polar set
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