Special Classes of CR Singularities I
Valentin Burcea
TL;DR
This paper introduces a new iterative normalization method based on Generalized Fischer Decompositions to analyze special classes of CR singularities, extending classical results like Moser's theorem.
Contribution
It develops an analogue of Moser's theorem for specific CR singularities using a novel normalization procedure involving Generalized Fischer Decompositions.
Findings
Established an iterative normalization process for CR singularities.
Extended classical theorems to new classes of CR singularities.
Provided a framework for analyzing CR singularities with generalized techniques.
Abstract
It is proven an analogue of The Theorem of Moser according to an iterative normalization procedure depending on Generalized Fischer Decompositions.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Algebra and Geometry