Spherical space forms, CR-mappings, and proper maps between balls
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Publication:1813030
DOI10.1007/BF02921298zbMath0782.32016OpenAlexW1976832371MaRDI QIDQ1813030
Daniel A. Lichtblau, John P. D'Angelo
Publication date: 25 June 1992
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02921298
unit ballfinite unitary groupsspherical space formsproper holomorphic rational mapsmooth CR-mappings to spheres
Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) CR structures, CR operators, and generalizations (32V05) Proper holomorphic mappings, finiteness theorems (32H35)
Related Items (10)
Symmetries, rational sphere maps, and complete polynomial sequences ⋮ SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS ⋮ The combinatorics of certain group-invariant mappings ⋮ Invariant holomorphic mappings ⋮ A sharp bound for the degree of proper monomial mappings between balls ⋮ A monotonicity result for volumes of holomorphic images ⋮ Number-theoretic properties of certain CR mappings ⋮ Uniqueness of certain polynomials constant on a line ⋮ Properties of certain sparse circulant determinants ⋮ Constructing group-invariant CR mappings
Cites Work
- A reflection principle with applications to proper holomorphic mappings
- Polynomial proper holomorphic mappings between balls. II
- Boundary behavior of rational proper maps
- Maps from the two-ball to the three-ball
- The linearity of proper holomorphic maps between balls in the low codimension case
- Proper holomorphic maps from balls
- Extending proper holomorphic mappings of positive codimension
- Proper holomorphic maps between balls of different dimensions
- Polynomial proper maps between balls
- Embedding Strictly Pseudoconvex Domains in Convex Domains
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