Polynomial and rational maps between balls

DOI10.4310/PAMQ.2010.V6.N3.A10zbMath1208.32019OpenAlexW2320300420MaRDI QIDQ612269

Shanyu Ji, Xiaojun Huang, Yuan Zhang, James J. V. Faran

Publication date: 3 January 2011

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2010.v6.n3.a10

zbMATH Keywords

proper holomorphic mapsrational mapspolynomial maps

Mathematics Subject Classification ID

Rational and birational maps (14E05) Proper holomorphic mappings, finiteness theorems (32H35)

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The reflection map and infinitesimal deformations of sphere mappings ⋮ D'Angelo conjecture in the third gap interval ⋮ On highly degenerate CR maps of spheres ⋮ Three-jets determinations of normalized proper holomorphic maps from \(\mathbb{H}_n\) into \(\mathbb{H}_{3n-2}\) ⋮ Initial monomial invariants of holomorphic maps ⋮ On the third gap for proper holomorphic maps between balls ⋮ Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics ⋮ Mappings between balls with geometric and degeneracy rank two ⋮ Classification of rational holomorphic maps from \(\mathbb{B}^2\) into \(\mathbb{B}^\mathbb{N}\) with degree 2 ⋮ The CR immersion into a sphere with the degenerate CR Gauss map ⋮ The CR Ahlfors derivative and a new invariant for spherically equivalent CR maps

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