On families of meromorphic maps into the complex projective space

DOI10.1017/S0027763000024570zbMath0267.32005MaRDI QIDQ5685386

Hirotaka Fujimoto

Publication date: 1974

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Special families of functions of several complex variables (32A17) Meromorphic functions of several complex variables (32A20) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (24)

On the normality criteria of Montel and Bergweiler-Langley ⋮ Big Picard's theorems for holomorphic mappings of several complex variables into \(\mathbb{P}^{N}(C)\) with moving hyperplanes ⋮ Normal criteria for a family of holomorphic curves ⋮ Generalizations of Picard's theorem with moving hypersurfaces ⋮ Value distribution of \(q\)-differences of meromorphic functions in several complex variables ⋮ On the Julia directions of the value distribution of holomorphic curves in \(P^ n(C)\) ⋮ An extension of Schwick's theorem for normal families ⋮ Meromorphically normal families in several variables ⋮ Unnamed Item ⋮ Shared hyperplanes and normal families of holomorphic curves ⋮ Normal holomorphic mappings in complex space ⋮ A criterion for quasinormality in \(\mathbf{\mathbb {C}^n}\) ⋮ The defect relations for the derived curves of a holomorphic curve in \(P^ n(\)C) ⋮ Normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\) for moving targets ⋮ Normal holomorphic mappings and classical theorems of function theory ⋮ Intrinsic distances, measures and geometric function theory ⋮ Difference analogues of the second main theorem for meromorphic functions in several complex variables ⋮ Weak normal and quasinormal families of holomorphic curves ⋮ Remarks to the uniqueness problem of meromorphic maps into P^N(C), IV ⋮ On meromorphically normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\). ⋮ A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables ⋮ Normal Families of meromorphic mappings of several complex variables into P^N(C) ⋮ Normal families of meromorphic mappings sharing hypersurfaces ⋮ Normal families of meromorphic mappings of several complex variables for moving hypersurfaces in a complex projective space

Cites Work

• Unnamed Item
• On meromorphic maps into the complex projective space
• Über die wesentlichen Singularitäten analytischer Funktionen und Flächen im Raume von \(n\) komplexen Veränderlichen
• The growth of the area of a transcendental analytic set. I, II
• Normal families of non-negative divisors
• Sur les familles de surfaces analytiques
• Sur une propriété des familles de fonctions analytiques de deux variables complexes
• Normal families and the Nevanlinna theory
• Extensions of the big Picard's theorem
• Families of holomorphic maps into the projective space omitting some hyperplanes
• Über Folgen und Scharen von analytischen und meromorphen Funktionen mehrerer Variablen, sowie von analytischen Abbildungen
• Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlicher. I. II
• Holomorphic Mappings into Projective Space with Lacunary Hyperplanes

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