Normal forms for hypersurfaces of finite type in C^2
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Mathematical Research Letters |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | normal forms; finite type hypersurfaces; Chern-Moser invariants; stability group |
| Description | We construct normal forms for Levi degenerate hypersurfaces of finite type in $\mathbb{C}^2$. As one consequence, an explicit solution to the problem of local biholomorphic equivalence is obtained. Another consequence determines the dimension of the stability group of the hypersurface. |
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