Title

CR Singularities of 4-manifolds in C3

Document Type

Presentation

Presentation Date

3-2009

Conference Name

Spring 2009 Central Sectional meeting of the American Mathematical Society

Conference Location

University of Illinois Urbana-Champaign

Peer Review

Invited

Abstract

We consider real 4-submanifolds in complex 3-space at CR singular points, where the tangent space is a complex hyperplane. The extrinsic geometry of a submanifold near such a point is described by quantities depending on the local dening equations but invariant under holomorphic coordinate changes. I will give some concrete examples of compact manifolds embedded with the minimum possible number of non-degenerate CR singularities.

Disciplines

Algebraic Geometry | Analysis | Geometry and Topology | Mathematics

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