Model \(CR\)-manifolds with one-dimensional complex tangent

DOI10.1134/S1061920809010075zbMath1180.32013MaRDI QIDQ1033824

I. B. Mamai

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

holomorphic automorphismsmodel surfacesreal submanifolds of a complex space

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Complex Lie groups, group actions on complex spaces (32M05)

Related Items (5)

Moduli spaces of model real submanifolds: two alternative approaches ⋮ Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms ⋮ Moduli spaces of model surfaces with one-dimensional complex tangent ⋮ Rationality in Differential Algebraic Geometry ⋮ On Beloshapka's rigidity conjecture for real submanifolds in complex space

Cites Work

• Real hypersurfaces in complex manifolds
• CR-varieties of the type \((1,2)\) as varieties of ``super-high codimension
• Models of CR-manifolds of type \((\ell,K)\) for \(3\leq K\leq 7\) and their automorphisms
• The envelope of holomorphy of a model third-degree surface and the rigidity phenomenon
• Real submanifolds in complex space: polynomial models, automorphisms, and classification problems

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