On Normal Forms of Complex Points of codimension 2 submanifolds

Abstract

In this paper we present some linear algebra behind quadratic parts of quadratically flat complex points of codimension two real submanifold in a complex manifold. Assuming some extra nondegenericity and using the result of Hong, complete normal form descriptions can be given, and in low dimensions, we obtain a complete classification without any extra assumptions.

References in corpus (2)

• On complex points of codimension 2 submanifolds
• Flattening a non-degenerate CR singular point of real codimension two

Cited by in corpus (3)

• On normal forms of complex points of small ${\mathcal{C}}^2$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold
• On CR singular CR images
• The stabilizers for the action of orthogonal similarity on symmetric matrices and orthogonal $\ast$-conjugacy on Hermitian matrices