Polynomial proper maps between balls

DOI10.1215/S0012-7094-88-05710-9zbMath0657.32012OpenAlexW2157383081MaRDI QIDQ1110691

John P. D'Angelo

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-88-05710-9

zbMATH Keywords

Blaschke productpolynomial proper maps between balls

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (20)

SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS ⋮ Asymptotics for invariant polynomials ⋮ The reflection map and infinitesimal deformations of sphere mappings ⋮ Invariant holomorphic mappings ⋮ Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics ⋮ A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture ⋮ On highly degenerate CR maps of spheres ⋮ Initial monomial invariants of holomorphic maps ⋮ Proper holomorphic maps between balls in one co-dimension ⋮ A sharp bound for the degree of proper monomial mappings between balls ⋮ CR immersions and Lorentzian geometry ⋮ Mappings of quadric Cauchy-Riemann manifolds ⋮ \(r\)-stable hypersimplices ⋮ Number-theoretic properties of certain CR mappings ⋮ Uniqueness of certain polynomials constant on a line ⋮ Proper holomorphic polynomial maps between bounded symmetric domains of classical type ⋮ COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES ⋮ Spherical space forms, CR-mappings, and proper maps between balls ⋮ Proper Holomorphic Maps Between Bounded Symmetric Domains ⋮ Constructing group-invariant CR mappings

Cites Work

• Unnamed Item
• A reflection principle with applications to proper holomorphic mappings
• Maps from the two-ball to the three-ball
• Proper holomorphic maps from balls
• Proper holomorphic maps between balls of different dimensions

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