Boundaries of holomorphic 1-chains within holomorphic line bundles over \(\mathbb {CP}^{1}\)

DOI10.1007/s12220-009-9106-7zbMath1190.32013OpenAlexW2044920443MaRDI QIDQ848502

Ronald A. Walker

Publication date: 3 March 2010

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

Full work available at URL: https://doi.org/10.1007/s12220-009-9106-7

zbMATH Keywords

birational mapsnegative line bundlespositive line bundlesboundaries of holomorphic 1-chains within holomorphic line bundlesgenerating function of Wermer moments

Mathematics Subject Classification ID

Analytic subsets and submanifolds (32C25) Holomorphic bundles and generalizations (32L05) Integration on analytic sets and spaces, currents (32C30)

Cites Work

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• The hull of a curve in \(\mathbb C^n\)
• Characterizations of boundaries of holomorphic 1-chains within \(\widehat{\mathbb C}\times\widehat{\mathbb C}\) and \(\mathbb C\times\widehat{\mathbb C}\)
• On boundaries of complex analytic varieties. I
• Complex analytic geometry
• Polynomial hull of a compact set of finite length and holomorphic chains with rectifiable boundary
• Boundaries of varieties in projective manifolds
• Extended shockwave decomposability related to boundaries of holomorphic 1-chains within $\mathbb{CP}^2$

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