Publication details
Degenerate hypersurfaces with a two-parametric family of automorphisms
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Complex Variables and Elliptic Equations |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | hypersurface; automorphism; finite type |
| Description | We give a complete classification of Levi-degenerate hypersurfaces of finite type in C^2 with two-dimensional symmetry groups. Our analysis is based on the classification of two-dimensional Lie algebras and an explicit description of isotropy groups for such hypersurfaces, which follows from the construction of Chern-Moser type normal forms at points of finite type, developed in [M. Kolar, Normal forms for hypersurfaces of finite type in C^2, Math. Res. Lett. 12 (2005), pp. 897-910]. |
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