On nondegeneracy conditions for the Levi map in higher codimension: a\n survey

2017/11/30 by Léa Blanc-Centi, Blanc-Centi, Léa, Francine Meylan +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1711.11481

openalex publication_date 2017/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compare various definitions of nondegeneracy of the Levi map for real\nsubmanifolds of higher codimension in C^N and discuss the generalization to\nhigher codimension of the 2-jet determination for biholomorphisms in the\nhypersurface case proved by Chern and Moser.\n

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