Study of the analytic regularity of formal CR reflection mappings
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Publication:817421
DOI10.5802/afst.1094zbMath1090.32021OpenAlexW1978075578MaRDI QIDQ817421
Publication date: 16 March 2006
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AFST_2005_6_14_2_215_0
transcendence degreereal algebraic setslocal algebraic foliationslocal holomorphic mappingsSegre chainsTumanov's minimality
Real submanifolds in complex manifolds (32V40) 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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Vanishing Hachtroudi curvature and local equivalence to the Heisenberg pseudosphere, On propagation of sphericity of real analytic hypersurfaces across Levi degenerate loci, Lie symmetries and CR geometry
Cites Work
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- Holomorphic maps of real submanifolds in complex spaces of different dimensions.
- Le principe de réflexion en des points de faible pseudo convexité, pour des applications holomorphes propres
- Geometric properties of mappings between hypersurfaces in complex space
- Analyticity of CR equivalences between some real hypersurfaces in \(C^ n\) with degenerate Levi forms
- Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
- On the analyticity of CR mappings
- 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 \({\mathbb{C}}^ n)\)
- Extending proper holomorphic mappings of positive codimension
- Germs of CR maps between real analytic hypersurfaces
- Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\)
- Rigidity of CR submanifolds and analyticity of CR immersions
- Reflection principle in higher dimensions
- A reflection principle for degenerate real hypersurfaces
- Real hypersurfaces in complex manifolds
- On the mapping problem for algebraic real hypersurfaces
- Pseudoconvex domains with real-analytic boundary
- CR automorphisms of real analytic manifolds in complex space
- Germs of holomorphic mappings between real algebraic hypersurfaces
- Parametrization of local biholomorphisms of real analytic hypersurfaces
- Connections and propagation of analyticity for \(CR\) functions
- Biholomorphisms in dimension 2
- On the analyticity of smooth CR mappings between real-analytic CR manifolds
- Divergence of the normalization for real Lagrangian surfaces near complex tangents
- Algebraicity of holomorphic mappings between real algebraic sets in \(\mathbb{C}^ n\)
- Germs of local automorphisms of real-analytic CR structures and analytic dependence on \(k\)-jets
- Regularity of continuous CR maps in arbitrary dimension.
- Analytic continuation of holomorphic correspondences and equivalence of domains in \(\mathbb C^n\)
- Reflection ideals and mappings between generic submanifolds in complex space
- Formal biholomorphic maps of real analytic hypersurfaces
- Analytic continuation of germs of holomorphic mappings between real hypersurfaces in \({\mathbb{C}}^n\)
- On the analyticity of CR mappings between nonminimal hypersurfaces
- On the convergence of formal mappings
- On the analyticity of smooth CR maps into a real algebraic set
- Equivalences of real submanifolds in complex space.
- Nonalgebraizable real analytic tubes in \(\mathbb{C}^n\)
- Rational dependence of smooth and analytic CR mappings on their jets
- On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle
- Sur la convergence d'applications formelles entre sous-variétés analytiques réelles. (On the convergence of formal mappings between real-analytic submanifolds)
- Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds
- On a problem of Moser
- Linear differential systems with singularities and an application to transitive Lie algebras
- On the solutions of analytic equations
- Algebraic approximation of structures over complete local rings
- Analytic sets and the boundary regularity of CR mappings
- Étude de l'application de réflexion CR formelle
- On the partial algebraicity of holomorphic mappings between two real algebraic sets
- On the Reflection Principle in Several Complex Variables
- EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
- Sur la propagation des singularités dans les variétés CR
- ON THE ANALYTIC CONTINUATION OF HOLOMORPHIC MAPPINGS
- Normal forms and biholomorphic equivalence of real hypersurfaces in C^3
- On the Schwarz symmetry principle in a model case
- On solutions of real analytic equations
- Dynamics of the Segre varieties of a real submanifold in complex space
- Convergence and finite determination of formal CR mappings
- SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS
- Analyticité des applications
- Holomorphic Mappings of Domains with Generic Corners
- Infinitesimal CR Automorphisms of Rigid Hypersurfaces
- Mappings of Real Algebraic Hypersurfaces
- Infinitesimal CR Automorphisms of Real Hypersurfaces
- On 𝐶𝑅-mappings between algebraic Cauchy-Riemann manifolds and separate algebraicity for holomorphic functions
- Proper holomorphic maps in dimension 2 extend
- Orbits of Families of Vector Fields and Integrability of Distributions
- On partial analyticity of CR mappings
- Note on double reflection and algebraicity of holomorphic mappings
- Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces