Publication details
Finite type hypersurfaces with divergent normal form
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | MATHEMATISCHE ANNALEN |
| MU Faculty or unit | |
| 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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