Germs of CR maps between real analytic hypersurfaces
From MaRDI portal
Publication:1107677
DOI10.1007/BF01410197zbMath0653.32020MaRDI QIDQ1107677
Linda Preiss Rothschild, Mohamed Salah Baouendi
Publication date: 1988
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143606
Related Items
A generalized complex Hopf lemma and its applications to CR mappings ⋮ On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions ⋮ Biholomorphisms in dimension 2 ⋮ Regularity of CR mappings ⋮ Extension of smooth CR mappings between non-essentially finite hypersurfaces in \(\mathbb{C}^ 3\) ⋮ On CR mappings between pseudoconvex hypersurfaces of finite type in \(\mathbb{C}^2\) ⋮ Remarks on the rank properties of formal CR maps ⋮ Mapping problems in complex analysis and the \overline∂-problem ⋮ Proper holomorphic mappings between real analytic domains in \(\mathbf \mathbb{C}^ n\) ⋮ Critical sets of proper holomorphic mappings ⋮ Regularity of continuous CR maps in arbitrary dimension. ⋮ Some aspects of holomorphic mappings: a survey ⋮ Some regularity theorems for CR mappings ⋮ A general reflection principle in \(\mathbb{C}^ 2\) ⋮ Mappings of quadric Cauchy-Riemann manifolds ⋮ On solutions of real analytic equations ⋮ Flattening a non-degenerate CR singular point of real codimension two ⋮ Reflection principle and boundary properties of holomorphic mappings ⋮ Analytic sets extending the graphs of holomorphic mappings ⋮ Propagation of analyticity for essentially finite \(\mathcal C^\infty\)-smooth CR mappings ⋮ Dynamics of the Segre varieties of a real submanifold in complex space ⋮ Boundary regularity of correspondences in \(\mathbb C ^n\) ⋮ A removable singularity property for cr mappings between real analytic hypersurfaces ⋮ Mappings of Real Algebraic Hypersurfaces ⋮ The geometric reflection principle in several complex variables: a survey ⋮ New invariants of CR manifolds and a criterion for finite mappings to be diffeomorphic ⋮ Germs of holomorphic mappings between real algebraic hypersurfaces ⋮ On the classification theorem for CR mappings ⋮ Uniformly Levi degenerate CR manifolds: The 5-dimensional case ⋮ Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces ⋮ Extension of CR maps between real-analytic hypersurfaces of different dimensions ⋮ Multitype et applications holomorphes propres. (Multitype and proper holomorphic mappings) ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ A reflection principle on strongly pseudoconvex domains with generic corners ⋮ Study of the analytic regularity of formal CR reflection mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analyticity of CR equivalences between some real hypersurfaces in \(C^ n\) with degenerate Levi forms
- About the holomorphic extension of CR functions on real hypersurfaces in complex space
- On the analyticity of CR mappings
- Extension of proper holomorphic mappings past the boundary
- Mappings of three-dimensional CR manifolds and their holomorphic extension
- A reflection principle for degenerate real hypersurfaces
- Analytic hypoellipticity of the (partial-d-bar)-Neumann problem and extendability of holomorphic mappings
- On``type conditions for generic real submanifolds of \(\mathbb{C}^n\)
- Biholomorphic mappings between weakly pseudoconvex domains
- An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
- Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
- CR mappings of finite multiplicity and extension of proper holomorphic mappings
- On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
- Boundary regularity of proper holomorphic mappings