Regularity of continuous CR maps in arbitrary dimension.
From MaRDI portal
Publication:1396346
DOI10.1307/mmj/1049832896zbMath1044.32011OpenAlexW1988393879MaRDI QIDQ1396346
Sergey Pinchuk, Klas Diederich
Publication date: 30 June 2003
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1307/mmj/1049832896
Continuation of analytic objects in several complex variables (32D15) Proper holomorphic mappings, finiteness theorems (32H35) Finite-type conditions on CR manifolds (32V35) CR functions (32V10)
Related Items
Analytic continuation of holomorphic mappings ⋮ New extension phenomena for solutions of tangential Cauchy–Riemann equations ⋮ Critical sets of proper holomorphic mappings ⋮ Some aspects of holomorphic mappings: a survey ⋮ Some regularity theorems for CR mappings ⋮ A local extension theorem for proper holomorphic mappings in \(\mathbb{C}^2\) ⋮ Divergent CR-equivalences and meromorphic differential equations ⋮ Local equivalence problem for a second order complete scalar system of partial differencial equations with \(n\) independent variables ⋮ Lie symmetries and CR geometry ⋮ Analytic sets extending the graphs of holomorphic mappings ⋮ Propagation of analyticity for essentially finite \(\mathcal C^\infty\)-smooth CR mappings ⋮ Boundary regularity of correspondences in \(\mathbb C ^n\) ⋮ Germs of analytic sets in an algebraic hypersurface ⋮ The geometric reflection principle in several complex variables: a survey ⋮ A characterization of domains in \(\mathbf C^{2}\) with noncompact automorphism group ⋮ Equivalence of three-dimensional Cauchy-Riemann manifolds and multisummability theory ⋮ Extension of CR maps of positive codimension ⋮ Extension of CR maps between real-analytic hypersurfaces of different dimensions ⋮ Stationary discs for smooth hypersurfaces of finite type and finite jet determination ⋮ Extension of correspondences between rigid polynomial domains ⋮ Study of the analytic regularity of formal CR reflection mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Foliations by complex curves and the geometry of real surfaces of finite type
- On the analyticity of CR mappings
- Germs of CR maps between real analytic hypersurfaces
- Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\)
- Reflection principle in higher dimensions
- A reflection principle for degenerate real hypersurfaces
- Polynomially convex hulls and analyticity
- Images of real hypersurfaces under holomorphic mappings
- On the mapping problem for algebraic real hypersurfaces
- Pseudoconvex domains with real-analytic boundary
- Pseudoconvex domains: Existence of Stein neighborhoods
- Biholomorphisms in dimension 2
- 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 \({\mathbb{C}}^n\)
- Regularity of CR mappings between algebraic hypersurfaces
- Conditions for the analyticity of certain sets
- Analytic sets and the boundary regularity of CR mappings
- Étude de l'application de réflexion CR formelle
- THE SMOOTHNESS OF CR-MAPPINGS BETWEEN STRICTLY PSEUDOCONVEX HYPERSURFACES
- ON THE ANALYTIC CONTINUATION OF HOLOMORPHIC MAPPINGS
- On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
- Schwarz reflection principle in complex spaces of dimension two
- Convergence and finite determination of formal CR mappings
- Proper holomorphic maps in dimension 2 extend
- A removable singularity property for cr mappings between real analytic hypersurfaces
- Boundary regularity of proper holomorphic mappings
- Boundary regularity of proper holomorphic mappings
