Informace o publikaci
Holomorphic Equivalence and Nonlinear Symmetries of Ruled Hypersurfaces in C-2
| Autoři | |
|---|---|
| Rok publikování | 2015 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | JOURNAL OF GEOMETRIC ANALYSIS |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1007/s12220-013-9465-y |
| Obor | Obecná matematika |
| Klíčová slova | Infinite type; Ruled hypersurfaces; Local equivalence problem; Normal forms; Nonlinear automorphisms |
| Popis | 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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