English

Normal forms for hypersurfaces of finite type in $\mathbb C^2$

Complex Variables 2007-05-23 v1

Abstract

We construct normal forms for Levi degenerate hypersurfaces of finite type in C2\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.

Keywords

Cite

@article{arxiv.math/0609746,
  title  = {Normal forms for hypersurfaces of finite type in $\mathbb C^2$},
  author = {Martin Kolar},
  journal= {arXiv preprint arXiv:math/0609746},
  year   = {2007}
}
R2 v1 2026-07-22T17:43:06.995Z