Rational maps of balls and their associated groups

DOI10.1007/S40863-024-00430-XMaRDI QIDQ6656173

Jiri Lebl, Dusty E. Grundmeier

Publication date: 2 January 2025

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

holomorphic mapsautomorphism groupsrational mapsproper

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex Lie groups, group actions on complex spaces (32M05) Proper holomorphic mappings, finiteness theorems (32H35) Complex spaces with a group of automorphisms (32M99)

Cites Work

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• Symmetries in CR complexity theory
• Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics
• Proper holomorphic maps from balls
• Extending proper holomorphic mappings of positive codimension
• Symmetries and regularity for holomorphic maps between balls
• Spherical space forms, CR-mappings, and proper maps between balls
• A stabilization theorem for Hermitian forms and applications to holomorphic mappings
• Constructing group-invariant CR mappings
• SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS
• Hermitian Analysis
• Several Complex Variables and the Geometry of Real Hypersurfaces
• Rational Sphere Maps
• A rigidity result for proper holomorphic maps between balls
• Exhaustion functions and normal forms for proper maps of balls

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