Finite type hypersurfaces with divergent normal form

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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.
Related projects:	Algebraic methods in geometry and topology