A normal form for a real 2-codimensional submanifold in \(\mathbb C^{N+1}\) near a CR singularity

DOI10.1016/j.aim.2013.04.018zbMath1279.32024arXiv1110.1118OpenAlexW2963631588MaRDI QIDQ392964

Valentin Burcea

Publication date: 15 January 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1118

zbMATH Keywords

normal formCR singularityFisher decomposition

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40)

Related Items (17)

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 ⋮ Geometric and analytic problems for a real submanifold in \(\mathbb{C}^n\) with CR singularities ⋮ Modeling complex points up to isotopy ⋮ A CR singular analogue of Severi's theorem ⋮ Codimension two CR singular submanifolds and extensions of CR functions ⋮ On Lewy extension for smooth hypersurfaces in ℂⁿ×ℝ ⋮ Convergent normal form for real hypersurfaces at a generic Levi-degeneracy ⋮ Stability of the hull(s) of an \(n\)-sphere in \(\mathbb{C}^n\) ⋮ Flattening of CR singular points and analyticity of the local hull of holomorphy. II. ⋮ Real submanifolds in complex spaces ⋮ Flattening a non-degenerate CR singular point of real codimension two ⋮ Normal forms and degenerate CR singularities ⋮ Real submanifolds of maximum complex tangent space at a CR singular point. I ⋮ On CR singular CR images ⋮ On complex points of codimension 2 submanifolds ⋮ Convergent normal form and canonical connection for hypersurfaces of finite type in \(\mathbb{C}^2\)

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