An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter
Copyright policy )An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter
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)].
- Yamagata University Japan
holomorphic map, Picard-type theorems and generalizations for several complex variables, 32H30, degenerate, 32A22, hypersurface, Nevanlinna's lemma on logarithmic derivatives
holomorphic map, Picard-type theorems and generalizations for several complex variables, 32H30, degenerate, 32A22, hypersurface, Nevanlinna's lemma on logarithmic derivatives
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