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Holomorphic mappings from the unit disk to algebraic varieties - MaRDI portal

Holomorphic mappings from the unit disk to algebraic varieties (Q1191269)

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scientific article; zbMATH DE number 59710
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Holomorphic mappings from the unit disk to algebraic varieties
scientific article; zbMATH DE number 59710

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    Holomorphic mappings from the unit disk to algebraic varieties (English)
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    27 September 1992
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    Nevanlinna's second main theorem concerning meromorphic functions in the plane \(\mathbb{C}\) has been extended to holomorphic maps from \(\mathbb{C}\) into the complex projective space \(P^ n(\mathbb{C})\) and to holomorphic maps from \(\mathbb{C}\) into algebraic varieties. Nevanlinna also established his theorem for functions meromorphic in a disk of finite radius. In this paper, a version of the second main theorem is established for holomorphic maps from a disk into an algebraic variety.
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    Nevanlinna's second main theorem
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    complex projective space
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    algebraic varieties
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