Publication details

Finite type hypersurfaces with divergent normal form

Authors

KOLÁŘ Martin

Year of publication 2012
Type Article in Periodical
Magazine / Source MATHEMATISCHE ANNALEN
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1007/s00208-011-0747-z
Field General mathematics
Keywords Finite type; normal form; divergence
Description We consider the convergence problem for normal forms on finite type hypersurfaces in dimension two, constructed in Kolar (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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