Holomorphic chains and the support hypothesis conjecture

DOI10.1090/S0894-0347-97-00218-XzbMath0870.32003WikidataQ123363399 ScholiaQ123363399MaRDI QIDQ5690901

Herbert J. Alexander

Publication date: 9 January 1997

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

zbMATH Keywords

holomorphic chainslocally rectifiable currentsk)\)currents of type \((k

Mathematics Subject Classification ID

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

Related Items (8)

Polynomial hulls and positive currents ⋮ A variational characterization of complex submanifolds ⋮ Uniqueness of tangent cones to positive-\((p,p)\) integral cycles ⋮ Real rectifiable currents, holomorphic chains and algebraic cycles ⋮ Characterizations of boundaries of holomorphic 1-chains within \(\widehat{\mathbb C}\times\widehat{\mathbb C}\) and \(\mathbb C\times\widehat{\mathbb C}\) ⋮ A characterization of real holomorphic chains and applications in representing homology classes by algebraic cycles ⋮ Sur la caractérisation du bord d'une chaîne holomorphe dans l'espace projectif ⋮ Area-minimizing Riemann surfaces on the Iwasawa manifold

Cites Work

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• Complete characterization of holomorphic chains of codimension one
• A characterization of holomorphic chains
• Conditions for the analyticity of certain sets
• On the removal of singularities of analytic sets
• The currents defined by analytic varieties
• Areas of projections of analytic sets
• Ends of varieties
• Polynomial Approximation and Hulls in Sets in Finite Linear Measure in C n
• Peak interpolation sets for some algebras of analytic functions

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