A uniqueness theorem for meromorphic mappings with two families of hyperplanes

DOI10.1090/S0002-9939-2011-11123-7zbMath1273.32022arXiv1011.0522MaRDI QIDQ5388798

Si Duc Quang, Tran Van Tan, Gerd-Eberhard Dethloff

Publication date: 20 April 2012

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

Full work available at URL: https://arxiv.org/abs/1011.0522

zbMATH Keywords

meromorphic mapping, family of hyperplanes

Mathematics Subject Classification ID

Meromorphic mappings in several complex variables (32H04) Value distribution theory in higher dimensions (32H30)

Related Items (9)

A uniqueness theorem for holomorphic mappings in the disk sharing totally geodesic hypersurfaces ⋮ Improvement of the uniqueness theorems of meromorphic maps of ℂ^m into ℙⁿ(ℂ) ⋮ Uniqueness theorems for meromorphic mappings in several complex variables into \(P^N(\mathbb C)\) with two families of moving targets ⋮ Uniqueness theorems for meromorphic mappings sharing few hyperplanes ⋮ Generalization of uniqueness theorem for meromorphic mappings sharing hyperplanes ⋮ A note on the uniqueness problem of non-Archimedean holomorphic curves ⋮ Uniqueness theorems for holomorphic curves with hypersurfaces of Fermat-Waring type ⋮ Propagation sets of holomorphic curves ⋮ Multiple values and unicity problem of meromorphic mappings sharing different families of moving hyperplanes

Cites Work

• Uniqueness theorems for meromorphic mappings with few hyperplanes
• Uniqueness problem without multiplicities in value distribution theory
• On the propagation of dependences
• A note on entire pseudo-holomorphic curves and the proof of Cartan-Nochka's theorem
• Unicity of meromorphic mappings sharing few hyperplanes
• UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES
• Geometric conditions for unicity of holomorphic curves
• The uniqueness problem of meromorphic maps into the complex projective space
• Uniqueness problem with truncated multiplicities in value distribution theory
• UNIQUENESS THEOREM OF MEROMORPHIC MAPPINGS INTO ℙ^N (ℂ) SHARING 2N + 3 HYPERPLANES REGARDLESS OF MULTIPLICITIES

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