Invariant holomorphic mappings

DOI10.1007/BF02921598zbMath0901.32017OpenAlexW2094245976MaRDI QIDQ1387670

John P. D'Angelo

Publication date: 2 December 1998

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921598

zbMATH Keywords

cyclic groupshypersurfaceslens spaceembedding dimensions\(\Gamma\)-invariant real-valued real-analytic functioninvariant holomorphic mappinginvariant mappings

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex spaces with a group of automorphisms (32M99)

Related Items (14)

SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS ⋮ Asymptotics for invariant polynomials ⋮ The combinatorics of certain group-invariant mappings ⋮ Circulant matrices and Galois-Togliatti systems ⋮ Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics ⋮ A sharp bound for the degree of proper monomial mappings between balls ⋮ An invariant-theoretic property of certain CR-mappings ⋮ A monotonicity result for volumes of holomorphic images ⋮ The combinatorics of a three-line circulant determinant ⋮ Number-theoretic properties of certain CR mappings ⋮ Properties of certain sparse circulant determinants ⋮ COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES ⋮ Helical CR structures and sub-Riemannian geodesics ⋮ Constructing group-invariant CR mappings

Cites Work

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• Maps from the two-ball to the three-ball
• Proper holomorphic maps from balls
• Extending proper holomorphic mappings of positive codimension
• Polynomial proper maps between balls
• Spherical space forms, CR-mappings, and proper maps between balls

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