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 mappingsOn the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensionsBiholomorphisms in dimension 2Regularity of CR mappingsExtension 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 mapsMapping problems in complex analysis and the \overline∂-problemProper holomorphic mappings between real analytic domains in \(\mathbf \mathbb{C}^ n\)Critical sets of proper holomorphic mappingsRegularity of continuous CR maps in arbitrary dimension.Some aspects of holomorphic mappings: a surveySome regularity theorems for CR mappingsA general reflection principle in \(\mathbb{C}^ 2\)Mappings of quadric Cauchy-Riemann manifoldsOn solutions of real analytic equationsFlattening a non-degenerate CR singular point of real codimension twoReflection principle and boundary properties of holomorphic mappingsAnalytic sets extending the graphs of holomorphic mappingsPropagation of analyticity for essentially finite \(\mathcal C^\infty\)-smooth CR mappingsDynamics of the Segre varieties of a real submanifold in complex spaceBoundary regularity of correspondences in \(\mathbb C ^n\)A removable singularity property for cr mappings between real analytic hypersurfacesMappings of Real Algebraic HypersurfacesThe geometric reflection principle in several complex variables: a surveyNew invariants of CR manifolds and a criterion for finite mappings to be diffeomorphicGerms of holomorphic mappings between real algebraic hypersurfacesOn the classification theorem for CR mappingsUniformly Levi degenerate CR manifolds: The 5-dimensional caseAlgebraicity of local holomorphisms between real-algebraic submanifolds of complex spacesExtension of CR maps between real-analytic hypersurfaces of different dimensionsMultitype et applications holomorphes propres. (Multitype and proper holomorphic mappings)On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principleA reflection principle on strongly pseudoconvex domains with generic cornersStudy of the analytic regularity of formal CR reflection mappings



Cites Work