An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter (Q1069001)
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scientific article; zbMATH DE number 3931401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter |
scientific article; zbMATH DE number 3931401 |
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An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter (English)
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1984
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Another proof of the following particular case of a theorem of \textit{K. Kodaira} [J. Differ. Geom. 6, 33-46 (1971; Zbl 0227.32008)] is stated: A holomorphic map of \({\mathbb{C}}^ n\) into a smooth hypersurface of degree greater than \(n+2\) in \({\mathbb{P}}^{n+1}\) must be degenerate. The present proof uses \textit{A. Vitter}'s form of Nevanlinna's lemma on logarithmic derivatives [Duke Math. J. 44, 89-104 (1977; Zbl 0361.32003)].
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holomorphic map
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hypersurface
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degenerate
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Nevanlinna's lemma on logarithmic derivatives
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