CR singularities of real fourfolds in ℂ³

2009/04/17 by Adam Coffman, Coffman, Adam
Mathematics · #15A21 #32S05 #32S20 #32V40 #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.0904.2794

openalex publication_date 2009/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

CR singularities of real 4-submanifolds in complex 3-space are classified by using local holomorphic coordinate changes to transform the quadratic coefficients of the real analytic defining equation into a normal form. The quadratic coefficients determine an intersection index, which appears in global enumerative formulas for CR singularities of compact submanifolds.

Related

• Special Classes of CR Singularities II
• Real submanifolds of maximum complex tangent space at a CR singular point, II
• Flattening a non-degenerate CR singular point of real codimension two
• Real submanifolds of maximum complex tangent space at a CR singular point
• A codimension two CR singular submanifold that is formally equivalent to a symmetric quadric