Higher order invariants of Levi degenerate hypersurfaces

2008/04/18 by Kolar, Martin
#32T25 #32V35 #32V40 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.2986

Abstract

The first part of this paper considers higher order CR invariants of three dimensional hypersurfaces of finite type. Using a full normal form we give a complete characterization of hypersurfaces with trivial local automorphism group, and analogous results for finite groups. The second part considers hypersurfaces of finite Catlin multitype and the Kohn-Nirenberg phenomenon in higher dimensions. We give a necessary condition for local convexifiability of a class of pseudoconvex hypersurfaces in \mathbb Cⁿ⁺¹.

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