Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics
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Publication:654929
DOI10.1307/mmj/1320763051zbMath1237.32005arXiv0906.0325OpenAlexW2014824643MaRDI QIDQ654929
Publication date: 28 December 2011
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0325
Real algebraic sets (14P05) Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)
Related Items (15)
Classification of holomorphic mappings of hyperquadrics from \(\mathbb C^2\) to \(\mathbb C^3\) ⋮ Rational sphere maps, linear programming, and compressed sensing ⋮ CR Complexity and Hyperquadric Maps ⋮ Homotopy equivalence for proper holomorphic mappings ⋮ D'Angelo conjecture in the third gap interval ⋮ On highly degenerate CR maps of spheres ⋮ Three-jets determinations of normalized proper holomorphic maps from \(\mathbb{H}_n\) into \(\mathbb{H}_{3n-2}\) ⋮ Initial monomial invariants of holomorphic maps ⋮ Proper holomorphic maps from the unit disk to some unit ball ⋮ Local and infinitesimal rigidity of hypersurface embeddings ⋮ Infinitesimal and local rigidity of mappings of CR manifolds ⋮ Pfister’s theorem fails in the Hermitian case ⋮ Symmetries in CR complexity theory ⋮ Mappings between balls with geometric and degeneracy rank two ⋮ Hermitian symmetric polynomials and CR complexity
Cites Work
- Unnamed Item
- Polynomial and rational maps between balls
- Polynomial proper holomorphic mappings between balls. II
- Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
- Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics
- Classification of rational holomorphic maps from \(\mathbb{B}^2\) into \(\mathbb{B}^\mathbb{N}\) with degree 2
- Maps from the two-ball to the three-ball
- Extending proper holomorphic mappings of positive codimension
- Proper holomorphic maps between balls of different dimensions
- On proper holomorphic mappings of strictly pseudoconvex domains
- Invariant holomorphic mappings
- A sharp bound for the degree of proper monomial mappings between balls
- Degree estimates for polynomials constant on a hyperplane
- A new gap phenomenon for proper holomorphic mappings from \(\mathbb B^n\) into \(\mathbb B^N\)
- Canonical forms for complex matrix congruence and \(^{*}\)-congruence
- COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES
- On the complexity of proper holomorphic mappings between balls
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence
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