Classification of rational holomorphic maps from \(\mathbb{B}^2\) into \(\mathbb{B}^\mathbb{N}\) with degree 2

DOI10.1007/s11425-009-0147-yzbMath1211.32009OpenAlexW2255957313MaRDI QIDQ983638

Yuan Zhang, Shanyu Ji

Publication date: 24 July 2010

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

Full work available at URL: https://doi.org/10.1007/s11425-009-0147-y

zbMATH Keywords

proper holomorphic mapCayley transformationHeisenberg hypersurfacesrational holomorphic mapSiegel upper-half space

Mathematics Subject Classification ID

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

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CR Complexity and Hyperquadric Maps ⋮ Homotopy equivalence for proper holomorphic mappings ⋮ On highly degenerate CR maps of spheres ⋮ Proper holomorphic maps from the unit disk to some unit ball ⋮ Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics ⋮ Symmetries in CR complexity theory

Cites Work

• Polynomial and rational maps between balls
• Rational holomorphic maps from \(\mathbb B^2\) into \(\mathbb B^N\) with degree 2
• 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.
• On a semi-rigidity property for holomorphic maps

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