Local symmetries of finite type hypersurfaces in C^2

Details Local symmetries of finite type hypersurfaces in C^2 Local symmetries of finite type hypersurfaces in C^2

2006-09-13

arxiv.org/abs/math/0609348v1

Mathematics

Complex Variables

11 pages

Scientific paper

The paper gives a complete description of local automorphism groups for Levi
degenerate hypersurfaces of finite type in $\mathbb{C}^2$. We also prove that,
with the exception of hypersurfaces of the form $v = |z|^k$, local
automorphisms are always determined by 1-jets. This proves a conjecture of D.
Zaitsev in the finite type case.

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