Let (M, p) be a C ∞ smooth non-Leviflat CR hypersurface germ in C 2 where p is of infinite type. The purpose of this article is to investigate the holomorphic vector fields tangent to (M, p) vanishing at p.
The purpose of this article is to give explicit descriptions for stability groups of real rigid hypersurfaces of infinite type in C 2 . The decompositions of infinitesimal CR automorphisms are also given.
The purpose of this article is to prove that there exists a real smooth pseudoconvex hypersurface germ (M, p) of D'Angelo infinite type in C n+1 such that it does not admit any (singular) holomorphic curve in C n+1 tangent to M at p to infinite order.2010 Mathematics Subject Classification. Primary 32T25; Secondary 32C25.
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