Martin Kolář
Abstract
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We construct normal forms for Levi degenerate hypersurfaces of finite type in C 2 .As one consequence, an explicit solution to the problem of local biholomorphic equivalence is obtained.Another consequence determines the dimension of the stability group of the hypersurface.
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We construct normal forms for Levi degenerate hypersurfaces of finite type in C 2 .As one consequence, an explicit solution to the problem of local biholomorphic equivalence is obtained.Another consequence determines the dimension of the stability group of the hypersurface.
Key concepts: Mathematics, Hypersurface, Degenerate energy levels, Type (biology), Equivalence (formal languages), Pure mathematics, Dimension (graph theory), Mathematical analysis