Degenerate real hypersurfaces in ℂ² with few automorphisms

DOI10.1090/S0002-9947-09-04626-1zbMath1174.14038arXivmath/0605540OpenAlexW2908328699WikidataQ58623181 ScholiaQ58623181MaRDI QIDQ3629394

Bernhard Lamel, Peter Ebenfelt, Dimitri Zaitsev

Publication date: 27 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605540

zbMATH Keywords

normal formstability groupinfinite type hypersurfaceLevy degenerate

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) CR structures, CR operators, and generalizations (32V05) Hypersurfaces and algebraic geometry (14J70)

Related Items (11)

Remarks on the symmetries of a model hypersurface ⋮ Local symmetries of finite type hypersurfaces in \(\mathbb C^2\) ⋮ Finite type hypersurfaces with divergent normal form ⋮ Normal forms in Cauchy-Riemann geometry ⋮ Divergent CR-equivalences and meromorphic differential equations ⋮ Normal form for infinite type hypersurfaces in \(\mathbb C^2\) with nonvanishing Levi form derivative ⋮ Local equivalence of symmetric hypersurfaces in~$\mathbb C^2$ ⋮ Chern-Moser operators and polynomial models in CR geometry ⋮ Higher order symmetries of real hypersurfaces in ℂ³ ⋮ Equivalence of three-dimensional Cauchy-Riemann manifolds and multisummability theory ⋮ Two decades of finite jet determination of CR mappings

Cites Work

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• Normal forms for hypersurfaces of finite type in \(\mathbb C^2\)
• Parametrization of local biholomorphisms of real analytic hypersurfaces
• Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case
• New invariant tensors in CR structures and a normal form for real hypersurfaces at a generic Levi degeneracy
• Unique determination of local CR-maps by their jets: a survey
• Convergence and finite determination of formal CR mappings
• A hypersurface in $\mathbb {C}^2$ whose stability group is not determined by $2$-jets

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