Families of Normal Maps in Several Complex Variables and Hyperbolicity of Complex Spaces

DOI10.1080/0278107031000094963zbMath1036.32001OpenAlexW2039306884MaRDI QIDQ4433243

Pham Nguyen Thu Trang, Do Duc Thai, Pham Dinh Huong

Publication date: 2003

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0278107031000094963

zbMATH Keywords

hyperbolicitynormal familycomplex spaceholomorphic map

Mathematics Subject Classification ID

Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Related Items (16)

Big Picard theorem for meromorphic mappings with moving hyperplanes in \(\mathbf{P}^n(\mathbf{C})\) ⋮ Picard theorem for holomorphic curves from a punctured disc into \(\mathbb{P}^n(\mathbb{C})\) with few hypersurfaces in subgeneral position ⋮ Extension of holomorphic mappings for several moving hypersurfaces ⋮ Meromorphically normal families in several variables ⋮ Applications of Zalcman's lemma in \(C^N\) ⋮ A criterion for quasinormality in \(\mathbf{\mathbb {C}^n}\) ⋮ Extensions of p-Yosida functions to holomorphic mappings of several complex variables ⋮ Normal families of holomorphic functions and mappings on a Banach space ⋮ On the non-existence of limit E-Brody curves ⋮ Weak normal and quasinormal families of holomorphic curves ⋮ Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves ⋮ Zalcman's lemma in Cⁿ ⋮ Normal Families of meromorphic mappings of several complex variables into P^N(C) ⋮ Normal families of meromorphic mappings of several complex variables for moving hypersurfaces in a complex projective space ⋮ An improvement of Zalcman's lemma in C^n ⋮ Zalcman–Pang's lemma in C^N

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