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Finite type hypersurfaces with divergent normal form - MaRDI portal

Finite type hypersurfaces with divergent normal form (Q1938418)

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scientific article; zbMATH DE number 6134313
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Finite type hypersurfaces with divergent normal form
scientific article; zbMATH DE number 6134313

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    Finite type hypersurfaces with divergent normal form (English)
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    4 February 2013
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    Continuing his research [Math. Res. Lett. 12, No. 5--6, 897--910 (2005; Zbl 1086.32030)] on normal forms, the author takes up in this paper the question about their convergence in the case of finite type hypersurfaces in \(\mathbb C^2\). He produces two families of examples, showing that the divergence phenomenon cannot be avoided, even by a modification of the normal form construction.
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    finite type
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    normal form
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