On the Hartogs–Bochner phenomenon for CR functions in $P_2(\mathbb {C})$
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Publication:2782623
DOI10.1090/S0002-9939-02-06357-8zbMath1006.32028arXivmath/0403384OpenAlexW1521342995MaRDI QIDQ2782623
Roman J. Dwilewicz, Joël Merker
Publication date: 8 April 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403384
global minimalityjump formulaholomorphic extension of CR functionsone-sided neighborhoodsmooth hypersurfaces of the complex projective space
Continuation of analytic objects in several complex variables (32D15) CR manifolds as boundaries of domains (32V15) Extension of functions and other analytic objects from CR manifolds (32V25) CR functions (32V10)
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Holomorphic extensions in smooth toric surfaces ⋮ On the Hartogs extension theorem for unbounded domains in \(\mathbb{C}^n\) ⋮ Holomorphic extensions and theta functions on complex tori ⋮ Hartogs-Bochner type theorem in projective space ⋮ \(\bar{\partial}\)-problem in fiber bundles for decreasing \((0,1)\)-forms ⋮ Holomorphic extensions in complex fiber bundles
Cites Work
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- The Hartogs-type extension theorem for meromophic mappings into compact Kähler manifolds
- On boundaries of complex analytic varieties. II
- A note on projective Levi flats and minimal sets of algebraic foliations
- Minimal algebraic foliations in \(\mathbb{C}\mathbb{P}(n)\)
- Some remarks concerning holomorphically convex hulls and envelopes of holomorphy
- Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\)
- On the sample paths of the symmetric stable processes in spaces
- 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
- A new proof and an extension of Hartog’s theorem
- Sur la propagation des singularités dans les variétés CR
- Chaînes holomorphes de bord donné dans $\bbfC P^n$