CR Singularities in condimension 2
Citation:
Valentin Daniel Burcea, 'CR Singularities in condimension 2', [thesis], Trinity College (Dublin, Ireland). School of Mathematics, 2013, pp 44Download Item:
Abstract:
In this thesis we study the real submanifolds of codimension 2 in a complex manifold near a CR singularity. The thesis has 3 chapters. In Chapter 1 we shall make a small introduction where we will remind some basic notions and known results. The first chapter has 3 parts. In the first part we recall some basic notions. The second part represents an preparation for the second chapter. The third part represent a preparation for the third chapter. The main result of the thesis represent the content of Chaper 2. We generalize to a higher dimensional case Huang-Yin’s normal form in C2. The main tool is given by the Fisher decomposition and our construction is done following the lines of Huang-Yin’s normal form construction.
The last Chapter contains some remarks about a family of analytic discs attached to a real submanifold and some applications.
Author: Burcea, Valentin Daniel
Advisor:
Zaitsev, DimitriPublisher:
Trinity College (Dublin, Ireland). School of MathematicsNote:
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Mathematics, Ph.D., Ph.D. Trinity College DublinMetadata
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