Chaînes holomorphes de bord donné dans $\bbfC P^n$

DOI10.24033/bsmf.2312zbMath0942.32007OpenAlexW2466993594MaRDI QIDQ4381900

Gennadi M. Henkin, Pierre Dolbeault

Publication date: 2 June 1998

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_3_383_0

zbMATH Keywords

currentsboundary problem\(q\)-concave subspaceshomolomorphic chains

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Real submanifolds in complex manifolds (32V40) Integration on analytic sets and spaces, currents (32C30)

Related Items (19)

Polynomial hulls and positive currents ⋮ The two-dimensional inverse conductivity problem ⋮ Holomorphic extensions and theta functions on complex tori ⋮ Parametric argument principle and its applications to CR functions and manifolds ⋮ Non compact boundaries of complex analytic varieties in Hilbert spaces ⋮ Linear versus non-linear acquisition of step-functions ⋮ Characterizations of boundaries of holomorphic 1-chains within \(\widehat{\mathbb C}\times\widehat{\mathbb C}\) and \(\mathbb C\times\widehat{\mathbb C}\) ⋮ Boundaries of varieties in projective manifolds ⋮ Cauchy-type integrals of algebraic functions ⋮ On the compactification of hyperconcave ends and the theorems of Siu-Yau and Nadel ⋮ On the Hartogs–Bochner phenomenon for CR functions in $P_2(\mathbb {C})$ ⋮ On the compactification of hyperconcave ends ⋮ Holomorphic extension from weakly pseudoconcave CR manifolds ⋮ Holomorphic extensions in complex fiber bundles ⋮ Orthogonal measures on the boundary of a Riemann surface and polynomial hull of compacts of finite length ⋮ Problème du bord dans l'espace projectif complexe. (Boundary problem in the complex projective space.) ⋮ A conjecture of Globevnik-Stout and a theorem of Morera for a holomorphic chain ⋮ Sur la caractérisation du bord d'une chaîne holomorphe dans l'espace projectif ⋮ Explicit reconstruction of Riemann surface with given boundary in complex projective space

Cites Work

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• The Hartogs phenomenon on weakly pseudoconcave hypersurfaces
• On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables
• The hull of a curve in \(\mathbb C^n\)
• Über die Fortsetzbarkeit analytischer Mengen endlichen Oberflächeninhaltes
• Bemerkungen zur Theorie komplexer Räume
• Local characterization of holomorphic automorphisms of Siegel domains
• Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
• Pseudo holomorphic curves in symplectic manifolds
• Integral geometry for \(\overline\partial\)-cohomology in \(q\)-linear concave domains in \(\mathbb CP^n\)
• The existence of minimal immersions of 2-spheres
• Andreotti-Grauert theory by integral formulas. (Licensed ed. of the Akademie Verlag, Berlin)
• On boundaries of complex analytic varieties. I
• On boundaries of complex analytic varieties. II
• Holomorphic curves in symplectic geometry
• Some remarks concerning holomorphically convex hulls and envelopes of holomorphy
• A characterization of holomorphic chains
• Fonctions entières (\(n\) variables) et fonctions plurisousharmoniques d'ordre fini dans \(C^ n\)
• Conditions for the analyticity of certain sets
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• On the removal of singularities of analytic sets
• On the extension of holomorphic functions from the boundary of a complex manifold
• CR-MEROMORPHIC EXTENSION AND THE NONEMBEDDABILITY OF THE ANDREOTTI–ROSSI CR STRUCTURE IN THE PROJECTIVE SPACE
• Polynomial Hulls of Rectifiable Curves
• The Cauchy integral for functions of several complex variables
• Continuation of Subvarieties of Projective Varieties
• The Equidistribution Theory of Holomorphic Curves. (AM-64)
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
• The boundary values of holomorphic functions of several complex variables

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