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Local symmetries of finite type hypersurfaces in C^2

Martin Kolar
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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.

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Martin Kolar. 2006-09-13. Local symmetries of finite type hypersurfaces in C^2. https://doi.org/10.1007/s11425-006-2049-6

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