Local symmetries of finite type hypersurfaces in C^2.
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Science in China Series A: Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.springerlink.com |
| Field | General mathematics |
| Keywords | normal forms; finite type hypersurfaces; local equivalence problem; finite jet determination; stability group |
| Description | The paper gives a complete description of local automorphism groups for Levi degenerate hypersurfaces of finite type in C^2. It is also proved that, with the exception of hypersurfaces of the form v = |z|^k local automorphisms are always determined by their 1-jets. Using this result, the second part describes special normal forms which allow to decide effectively about local equivalence of two hypersurfaces given in this normal form. |
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