Unique determination of local CR-maps by their jets: a survey

zbMath1098.32018MaRDI QIDQ2569841

Dimitri Zaitsev

Publication date: 26 April 2006

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

CR-manifoldsJets of biholomorphic mapsReal hypersurfaces of finite type

Mathematics Subject Classification ID

CR functions (32V10)

Related Items (12)

Remarks on the rank properties of formal CR maps ⋮ Local symmetries of finite type hypersurfaces in \(\mathbb C^2\) ⋮ Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms ⋮ On maps between nonminimal hypersurfaces ⋮ Normal form for infinite type hypersurfaces in \(\mathbb C^2\) with nonvanishing Levi form derivative ⋮ Finite jet determination of CR embeddings ⋮ Degenerate real hypersurfaces in ℂ² with few automorphisms ⋮ Explicit bounds for the finite jet determination problem ⋮ On Beloshapka's rigidity conjecture for real submanifolds in complex space ⋮ Cartan uniqueness theorem on nonopen sets ⋮ Two decades of finite jet determination of CR mappings ⋮ Holomorphic equivalence and nonlinear symmetries of ruled hypersurfaces in \(\mathbb{C}^{2}\)

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