Contents Online
Mathematical Research Letters
Volume 12 (2005)
Number 6
Normal forms for hypersurfaces of finite type in $\mathbb{C}^2$
Pages: 897 – 910
DOI: https://dx.doi.org/10.4310/MRL.2005.v12.n6.a10
Author
Abstract
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.
Published 1 January 2005