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Infinitesimal CR automorphisms of hypersurfaces of finite type in $${\mathbb {C}}^2$$. (English) Zbl 1265.32023
Summary: We study the Chern-Moser operator for hypersurfaces of finite type in $$\mathbb {C}^2$$. Analysing its kernel we derive explicit results on jet determination for the stability group and give a description of infinitesimal CR automorphisms of such manifolds.

##### MSC:
 32V35 Finite-type conditions on CR manifolds 32V40 Real submanifolds in complex manifolds