Normality criteria for families of holomorphic mappings of several complex variables into 𝑃^{𝑁}(𝐶)

DOI10.1090/S0002-9939-99-04610-9zbMath0916.32001OpenAlexW1532013250MaRDI QIDQ4226323

Zhen-Han Tu

Publication date: 25 January 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04610-9

zbMATH Keywords

Nevanlinna theoryhyperplanesholomorphic mappingsPicard type theoremscomplex projective spaceshyperplanes in general positionnormal familiesheuristic principleMontel normality criteria

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Normal functions of one complex variable, normal families (30D45) Special families of functions of several complex variables (32A17) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (11)

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 ⋮ Montel-type theorems in several complex variables with continuously moving targets ⋮ Normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\) for moving targets ⋮ Stability of a three-dimensional diffusive Lotka–Volterra system of type-K with delays ⋮ On meromorphically normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\). ⋮ Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves ⋮ Zalcman's lemma and normality concerning shared values of holomorphic functions and their total derivatives 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

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