Rational holomorphic maps from \(\mathbb B^2\) into \(\mathbb B^N\) with degree 2

DOI10.1007/S11425-006-2057-6zbMath1108.32008OpenAlexW2190742202MaRDI QIDQ867807

Shanyu Ji, Zhi Hua Chen, De Kang Xu

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-2057-6

zbMATH Keywords

rational holomorphic maps between balls

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (4)

Classification of holomorphic mappings of hyperquadrics from \(\mathbb C^2\) to \(\mathbb C^3\) ⋮ On highly degenerate CR maps of spheres ⋮ CR submanifolds in a sphere and their Gauss maps ⋮ Classification of rational holomorphic maps from \(\mathbb{B}^2\) into \(\mathbb{B}^\mathbb{N}\) with degree 2

Cites Work

• Maps from the two-ball to the three-ball
• Proper holomorphic maps between balls of different dimensions
• On a linearity problem for proper holomorphic maps between balls in complex spaces of different dimensions.
• Maps between \(B^n\) and \(B^N\) with geometric rank \(k_0\leq n-2\) and minimum \(N\)
• On a semi-rigidity property for holomorphic maps
• A new gap phenomenon for proper holomorphic mappings from \(\mathbb B^n\) into \(\mathbb B^N\)

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