Shared hyperplanes and normal families of holomorphic curves

DOI10.1142/S0129167X20500378zbMath1440.32002OpenAlexW3007417269MaRDI QIDQ5113356

Xiao Jun Liu, Xue-Cheng Pang

Publication date: 4 June 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x20500378

zbMATH Keywords

holomorphic mapsnormal familyderived curvesshared hyperplanes

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Value distribution theory in higher dimensions (32H30) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Cites Work

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• Normal families of holomorphic mappings into complex projective space concerning shared hyperplanes
• A criterion for normality in \(\mathbb{C}^ n\)
• Bloch's principle and normal criterion
• An extension of Schwick's theorem for normal families
• A Heuristic Principle in Complex Function Theory
• Normal families: New perspectives
• Normal Families and Shared Values
• UNIQUENESS THEOREM OF MEROMORPHIC MAPPINGS INTO ℙ^N (ℂ) SHARING 2N + 3 HYPERPLANES REGARDLESS OF MULTIPLICITIES
• On families of meromorphic maps into the complex projective space
• Théorie nouvelle des familles complexes normales. Applications à l'étude des fonctions algébroïdes

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