Local symmetries of finite type hypersurfaces in C^2

Abstract

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.

11 pages

Cited by in corpus (1)

• Infinitesimal CR automorphisms and stability groups of infinite type models in ${\mathbb{C}}^2$