Unique jet determination and extension of germs of CR maps into spheres
From MaRDI portal
Publication:4963640
DOI10.1090/tran/8280zbMath1458.32011arXiv2008.07194OpenAlexW3085894395MaRDI QIDQ4963640
Publication date: 19 February 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07194
Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Meromorphic mappings in several complex variables (32H04) Extension of functions and other analytic objects from CR manifolds (32V25) Analysis on CR manifolds (32V20) Boundary uniqueness of mappings in several complex variables (32H12)
Related Items (11)
The stationary disc method in the unique jet determination of CR automorphisms ⋮ On nondegeneracy conditions for the Levi map in higher codimension: a survey ⋮ Rationality of meromorphic functions between real algebraic sets in the plane ⋮ Remarks on the symmetries of a model hypersurface ⋮ Unique jet determination of CR maps into Nash sets ⋮ The finite jet determination problem for CR maps of positive codimension into Nash manifolds ⋮ Explicit construction of stationary discs and its consequences for nondegenerate quadrics ⋮ Extension of multivalued holomorphic functions on a Stein space ⋮ Nondefective stationary discs and 2-jet determination in higher codimension ⋮ Two decades of finite jet determination of CR mappings ⋮ Chern–Moser operators and weighted jet determination problems in higher codimension
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rigidity of CR maps between Shilov boundaries of bounded symmetric domains
- Finite jet determination of holomorphic mappings at the boundary
- Holomorphic maps of real submanifolds in complex spaces of different dimensions.
- Determination of formal CR mappings by a finite jet
- Analytic extension of holomorphic mappings and problems of holomorphic classification of multidimensional domains
- Holomorphic extension of proper meromorphic mappings
- Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
- Boundary behavior of rational proper maps
- The linearity of proper holomorphic maps between balls in the low codimension case
- Extending proper holomorphic mappings of positive codimension
- Global holomorphic extension of a local map and a Riemann mapping theorem for algebraic domains
- On the pseudo-conformal geometry of hypersurface of the space of \(n\) complex variables
- Real hypersurfaces in complex manifolds
- On the mapping problem for algebraic real hypersurfaces
- Pseudoconvex domains with real-analytic boundary
- On mapping an n-ball into an (n+1)-ball in complex space
- CR automorphisms of real analytic manifolds in complex space
- 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
- Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case
- Reflection ideals and mappings between generic submanifolds in complex space
- Analytic regularity of CR maps into spheres
- On a linearity problem for proper holomorphic maps between balls in complex spaces of different dimensions.
- Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces
- Equivalences of real submanifolds in complex space.
- Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds
- Stationary discs and finite jet determination for non-degenerate generic real submanifolds
- Finite jet determination of CR embeddings
- Equivalence and embedding problems for CR-structures of any codimension
- Rational dependence of smooth and analytic CR mappings on their jets
- Rigidity of CR-immersions into spheres
- On a semi-rigidity property for holomorphic maps
- Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds
- Automorphism groups of minimal real-analytic CR manifolds
- Holomorphic mappings from the ball and polydisc
- Jet determination of smooth CR automorphisms and generalized stationary discs
- Rigidity of proper holomorphic maps between bounded symmetric domains
- Stationary holomorphic discs and finite jet determination problems
- Chern-Moser operators and polynomial models in CR geometry
- Points de platitude d'un morphisme d'espaces analytiques complexes
- EXTENSION OF CR-FUNCTIONS INTO A WEDGE
- Parametrization of local CR automorphisms by finite jets and applications
- On the c∞ version of the reflection principle for mappings between CR manifolds
- Convergence and finite determination of formal CR mappings
- The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics
This page was built for publication: Unique jet determination and extension of germs of CR maps into spheres
