EFFECTIVE ISOMETRIC EMBEDDINGS FOR CERTAIN HERMITIAN HOLOMORPHIC LINE BUNDLES

DOI10.1112/S0024610706022708zbMath1168.32018MaRDI QIDQ5481513

Wing-Keung To, Sai Kee Yeung

Publication date: 10 August 2006

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

zbMATH Keywords

bihomogeneous polynomials on complex Euclidean spacesHermitian analogues of Hilbert's seventeenth problemhypersurfaces in complex Euclidean spacesnorms of vector-valued polynomials

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic bundles and generalizations (32L05)

Related Items (12)

Eventual positivity of Hermitian polynomials and integral operators ⋮ HERMITIAN COMPLEXITY OF REAL POLYNOMIAL IDEALS ⋮ Characterization of polynomials whose large powers have fully positive coefficients ⋮ Effective geometric Hermitian positivstellensatz ⋮ Characterization of polynomials whose large powers have all positive coefficients ⋮ A quantitative version of Catlin-D'Angelo-Quillen theorem ⋮ Sums of squares on hypersurfaces ⋮ Hermitian analogues of Hilbert's 17-th problem ⋮ Eventual positivity of Hermitian algebraic functions and associated integral operators ⋮ An application of Macaulay’s estimate to sums of squares problems in several complex variables ⋮ Algebraic properties of Hermitian sums of squares ⋮ EFFECTIVE ŁOJASIEWICZ INEQUALITY FOR ARITHMETICALLY DEFINED VARIETIES AND A GEOMETRIC APPLICATION TO BIHOMOGENEOUS POLYNOMIALS

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