Normal Forms and Degenerate CR Singularities
Valentin Burcea
TL;DR
This paper develops a normal form for certain real-smooth surfaces in complex two-space near degenerate CR singularities, aiding in their classification and analysis.
Contribution
It introduces a new normal form specifically for real-smooth surfaces with degenerate CR singularities in 2, advancing the understanding of their local structure.
Findings
Normal form for surfaces near degenerate CR singularities
Enhanced classification of such surfaces
Framework for analyzing local geometric properties
Abstract
It is constructed a normal form for a class of real-smooth surfaces M\subset\mathbb{C}^{2} defined near a degenerate CR singularity.
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