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Finite type hypersurfaces with divergent normal form

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Abstract

We consider the convergence problem for normal forms on finite type hypersurfaces in dimension two, constructed in Kolář (Math Res Lett 12:897–910, 2005). Two families of examples of hypersurfaces with divergent normal form are given. The results also show that the divergence phenomenon cannot be avoided by a modification of the normal form construction.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Masaryk University, Kotlarska 2, 611 37, Brno, Czech Republic

    Martin Kolář

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  1. Martin Kolář
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Correspondence to Martin Kolář.

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The author was supported by a Grant of the GA ČR no. 201/08/0397.

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Kolář, M. Finite type hypersurfaces with divergent normal form. Math. Ann. 354, 813–825 (2012). https://doi.org/10.1007/s00208-011-0747-z

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  • DOI: https://doi.org/10.1007/s00208-011-0747-z

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