Real-Smooth Hypersurfaces in $\mathbb{C}^{N+1}$
Valentin Burcea
TL;DR
This paper develops a formal normal form for a broad class of real-smooth hypersurfaces in complex spaces using an iterative normalization process, aiding in their classification.
Contribution
It introduces a new iterative normalization method to construct formal normal forms for real-smooth hypersurfaces in complex spaces.
Findings
Successfully constructs formal normal forms for a large class of hypersurfaces
Provides a systematic normalization procedure
Enhances understanding of hypersurface classification
Abstract
It is constructed a formal normal form, using an iterative normalization procedure, for a large class of Real-Smooth Hypersurfaces in Complex Spaces.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric Analysis and Curvature Flows · Algebraic and Geometric Analysis