Publication details
Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in C-2
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | JOURNAL OF GEOMETRIC ANALYSIS |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1007/s12220-013-9465-y |
| Field | General mathematics |
| Keywords | Infinite type; Ruled hypersurfaces; Local equivalence problem; Normal forms; Nonlinear automorphisms |
| Description | We solve the local equivalence problem for ruled hypersurfaces in C-2 at a point of infinite type by giving a normal form. We describe all ruled hypersurfaces which admit nonlinear symmetries and give their complete characterization according to the dimension of their automorphism group. As an application, we give a bound for the dimension of the stability group for a family of nonminimal hypersurfaces. |
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