Number-theoretic properties of certain CR mappings

DOI10.1007/BF02922069zbMath1082.32024OpenAlexW2154547914MaRDI QIDQ1769155

John P. D'Angelo

Publication date: 18 March 2005

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

Full work available at URL: https://doi.org/10.1007/bf02922069

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Holomorphic mappings and correspondences (32H99) Embeddings of CR manifolds (32V30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Elementary number theory (11A99)

Related Items (9)

Symmetries, rational sphere maps, and complete polynomial sequences ⋮ SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS ⋮ The combinatorics of certain group-invariant mappings ⋮ An Interesting Family of Symmetric Polynomials ⋮ An invariant-theoretic property of certain CR-mappings ⋮ A monotonicity result for volumes of holomorphic images ⋮ Uniqueness of certain polynomials constant on a line ⋮ Properties of certain sparse circulant determinants ⋮ COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES

Cites Work

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• Proper holomorphic maps from balls
• Polynomial proper maps between balls
• Invariant holomorphic mappings
• A sharp bound for the degree of proper monomial mappings between balls
• The combinatorics of a three-line circulant determinant
• Spherical space forms, CR-mappings, and proper maps between balls
• IMBEDDING CAUCHY-RIEMANN MANIFOLDS INTO A SPHERE
• Embedding Strictly Pseudoconvex Domains Into Balls

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