On normal forms of complex points of small C2-perturbations of real 4-manifolds embedded in a complex 3-manifold

DOI10.1080/17476933.2020.1722112OpenAlexW3005627602MaRDI QIDQ5041055

Tadej Starčič

Publication date: 18 October 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01644

zbMATH Keywords

perturbationsnormal formsCR manifoldscomplex points

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Normal forms on manifolds (58K50)

Related Items (1)

On bundles of matrix pencils under strict equivalence

Uses Software

• StratiGraph

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On complex points of codimension 2 submanifolds
• Flattening of CR singular points and analyticity of the local hull of holomorphy. I
• Modeling complex points up to isotopy
• A normal form for a real 2-codimensional submanifold in \(\mathbb C^{N+1}\) near a CR singularity
• Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence
• Flattening of CR singular points and analyticity of the local hull of holomorphy. II.
• CR singularities of real fourfolds in \(\mathbb C^{3}\)
• Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
• Similarity of holomorphic matrices
• The local hull of holomorphy of a surface in the space of two complex variables
• Complex tangents of real surfaces in complex surfaces
• On normal forms of complex points of codimension 2 submanifolds
• CR singular immersions of complex projective spaces
• Miniversal deformations of matrices of bilinear forms
• Real submanifolds of maximum complex tangent space at a CR singular point. I
• Differentiable manifolds in complex Euclidean space
• A Canonical Form for Hermitian Matrices under Complex Orthogonal Congruence
• A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm
• Real Analytic Submanifolds Under Unimodular Transformations
• Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures
• Change of the *-congruence canonical form of 2-by-2 matrices under perturbations
• Characteristic Classes of Real Manifolds Immersed in Complex Manifolds

This page was built for publication: On normal forms of complex points of small C²-perturbations of real 4-manifolds embedded in a complex 3-manifold