Geometric properties and related results for holomorphic Segre preserving maps

DOI10.1080/17476933.2010.534784zbMath1254.32004arXiv0810.2570OpenAlexW2039090856MaRDI QIDQ3143512

R. Blair Angle

Publication date: 30 November 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2570

zbMATH Keywords

complexifications of real analytic hypersurfacesholomorphic Segre preserving mapsSegre transversality

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic functions of several complex variables (32A10) Finite-type conditions on CR manifolds (32V35)

Related Items (2)

Orthogonal pair and a rigidity problem for Segre maps associated to real hyperquadrics ⋮ CR transversality of holomorphic mappings between generic submanifolds in complex spaces

Cites Work

• Parametrization of holomorphic Segre-preserving maps
• Rigidity and holomorphic Segre transversality for holomorphic Segre maps
• Segre families and real hypersurfaces
• Transversality of CR mappings
• Parametrization of local CR automorphisms by finite jets and applications
• Infinitesimal CR Automorphisms of Real Hypersurfaces

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