The local hull of holomorphy of a surface in the space of two complex variables
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Publication:1166680
DOI10.1007/BF01393370zbMath0489.32007MaRDI QIDQ1166680
Carlos E. Kenig, Sidney M. Webster
Publication date: 1982
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142897
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Envelopes of holomorphy (32D10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Real-analytic manifolds, real-analytic spaces (32C05)
Related Items (35)
On normal forms of complex points of small C2-perturbations of real 4-manifolds embedded in a complex 3-manifold ⋮ Flattening of CR singular points and analyticity of the local hull of holomorphy. I ⋮ On a problem of Moser ⋮ On the extension of CR-functions ⋮ Locally determined envelopes of holomorphy in \({\mathbb{C}}\) 2 ⋮ Geometric and analytic problems for a real submanifold in \(\mathbb{C}^n\) with CR singularities ⋮ A CR singular analogue of Severi's theorem ⋮ Codimension two CR singular submanifolds and extensions of CR functions ⋮ On normal forms of complex points of codimension 2 submanifolds ⋮ Stein domains in complex surfaces ⋮ The local polynomial hull near a degenerate CR singularity: Bishop discs revisited ⋮ Levi-flat filling of real two-spheres in symplectic manifolds. I. ⋮ On Lewy extension for smooth hypersurfaces in ℂⁿ×ℝ ⋮ Segre nondegenerate totally real subvarieties ⋮ Stability of the hull(s) of an \(n\)-sphere in \(\mathbb{C}^n\) ⋮ ENVELOPE OF HOLOMORPHY OF CERTAIN TWO-MANIFOLDS IN ℂ2 ⋮ Flattening of CR singular points and analyticity of the local hull of holomorphy. II. ⋮ Complex tangents of real surfaces in complex surfaces ⋮ Flattening a non-degenerate CR singular point of real codimension two ⋮ On an 𝑛-manifold in 𝐂ⁿ near an elliptic complex tangent ⋮ Equivalence problem for Bishop surfaces ⋮ Polynomially convex hulls of singular real manifolds ⋮ Uniform approximation by polynomials in two functions ⋮ Null Holomorphic Curves in $$\mathbb{C}^{3}$$ and Applications to the Conformal Calabi-Yau Problem ⋮ Local geometric properties of real submanifolds in complex space ⋮ Real submanifolds of maximum complex tangent space at a CR singular point. I ⋮ A Bishop surface with a vanishing Bishop invariant ⋮ On fillings by holomorphic discs of the levels of a Morse function ⋮ Unnamed Item ⋮ Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations ⋮ Pseudoholomorphic discs near an elliptic point ⋮ On CR singular CR images ⋮ A new class of polynomially convex sets ⋮ Analytic disks with boundaries in a maximal real submanifold of \({\mathbb C}^ 2\) ⋮ Levi foliations in pseudoconvex boundaries and vector fields that commute approximately with $\bar \partial $
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