Degeneracy and finiteness theorems for meromorphic mappings in several complex variables

DOI10.1007/S11401-019-0131-YzbMath1412.32014arXiv1402.5533OpenAlexW3101555965WikidataQ128592203 ScholiaQ128592203MaRDI QIDQ1733349

Si Duc Quang

Publication date: 21 March 2019

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5533

zbMATH Keywords

uniqueness problemhyperplanes in general positionsecond main theoremmeromorphic mappings of \(\mathbb C^n\)

Mathematics Subject Classification ID

Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

Related Items (10)

Algebraic dependences of meromorphic mappings into a projective space sharing few hyperplanes ⋮ Algebraic dependences of meromorphic mappings from complete Kähler manifolds into projective spaces sharing few hyperplanes ⋮ Algebraic dependence for three meromorphic mappings from complete Kähler manifolds into projective spaces ⋮ Algebraic dependences of three meromorphic mappings sharing few moving hyperplanes ⋮ Propagation sets of holomorphic curves ⋮ Degeneracy and finiteness problems for holomorphic curves from a disc into \(\mathbf{P^n(\mathbb{C})}\) with finite growth index ⋮ Meromorphic mappings of a complete connected Kähler manifold into a projective space sharing hyperplanes ⋮ On the finiteness of meromorphic mappings sharing few hyperplanes without multiplicities ⋮ On degeneracy of three meromorphic mappings from complete Kähler manifolds into projective spaces ⋮ Finiteness of meromorphic mappings from a complete Kähler manifold into a projective space

Cites Work

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• A degeneracy theorem for meromorphic mappings with truncated multiplicities
• Uniqueness theorems for meromorphic mappings with few hyperplanes
• A finiteness theorem for meromorphic mappings sharing few hyperplanes
• Algebraic dependences of meromorphic mappings sharing few hyperplanes counting truncated multiplicities
• 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
• 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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