Convergent normal form for real hypersurfaces at generic Levi degeneracy
Abstract
We construct a complete convergent normal form for a real hypersurface in N,\,N≥ 2 at generic Levi degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface. In particular, we obtain, in the spirit of the work of Chern and Moser chern, distinguished curves in the Levi degeneracy set, that we call degenerate chains.
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