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Finite type hypersurfaces with divergent normal form

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KOLÁŘ Martin

Druh Článek v odborném periodiku
Časopis / Zdroj MATHEMATISCHE ANNALEN
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
Doi http://dx.doi.org/10.1007/s00208-011-0747-z
Obor Obecná matematika
Klíčová slova Finite type; normal form; divergence
Popis 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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