CR singularities of real fourfolds in ${\mathbb{C}}^3$

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.

References in corpus (2)

• Canonical forms for complex matrix congruence and *congruence
• A codimension two CR singular submanifold that is formally equivalent to a symmetric quadric