PROPER HOLOMORPHIC MAPPINGS, POSITIVITY CONDITIONS, AND ISOMETRIC IMBEDDING

DOI10.4134/JKMS.2003.40.3.341zbMath1044.32010OpenAlexW2138201906MaRDI QIDQ4709410

John P. D'Angelo

Publication date: 2003

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2003.40.3.341

zbMATH Keywords

Hermitian formsisometric imbeddingholomorphic line bundlesCR mappingspositive conditionsproper holomorphic mappings, unit ball

Mathematics Subject Classification ID

Factorization of matrices (15A23) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Proper holomorphic mappings, finiteness theorems (32H35) Embedding theorems for complex manifolds (32Q40)

Related Items (9)

HERMITIAN COMPLEXITY OF REAL POLYNOMIAL IDEALS ⋮ Rational sphere maps, linear programming, and compressed sensing ⋮ CR Complexity and Hyperquadric Maps ⋮ COMPLEX VARIABLES ANALOGUES OF HILBERT'S SEVENTEENTH PROBLEM ⋮ Hermitian analogues of Hilbert's 17-th problem ⋮ Proper holomorphic maps from the unit disk to some unit ball ⋮ A monotonicity result for volumes of holomorphic images ⋮ Uniqueness of certain polynomials constant on a line ⋮ COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES

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