Title

Unfolding CR Singularities of Real 4-manifolds in C5

Document Type

Presentation

Presentation Date

2007

Conference Name

Canadian Mathematical Society Winter 2007 Meeting

Conference Location

London, Ontario

Publication Date

12-9-2007

Abstract

A notion of unfolding, or multi-parameter deformation, of CR singularities of real submanifolds in complex manifolds is proposed, along with a definition of equivalence of unfoldings under the action of a group of analytic transformations. In the case of real surfaces in complex 2-space, deformations of elliptic, hyperbolic, and parabolic points are analyzed by putting the parameter-dependent real analytic defining equations into normal forms up to some order. For some real analytic unfoldings in higher codimension, the method of rapid convergence is used to establish real algebraic normal forms.

Keywords

CR singularities, Special Session on Complex Analytic Geometry. 20 minutes.

Disciplines

Mathematics

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