3 citations · 17 across the 20 of their papers we have counts for
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Convergent normal form and canonical connection for hypersurfaces of finite type in
Ilya Kossovskiy, Dmitri Zaitsev
We study the holomorphic equivalence problem for finite type hypersurfaces in . We discover a geometric condition, which is sufficient for the existence of a natural c…
On the analyticity of CR-diffeomorphisms
Ilya Kossovskiy, Bernhard Lamel
In any positive CR-dimension and CR-codimension we provide a construction of real-analytic holomorphically nondegenerate CR-submanifolds, which are CR-equivalent, but ar…
Convergent normal form for real hypersurfaces at generic Levi degeneracy
Ilya Kossovskiy, Dmitri Zaitsev
We construct a complete convergent normal form for a real hypersurface in $\CC{N},\,N\geq 2$ at generic Levi degeneracy. This seems to be the first convergent normal form for a Lev…
Analytic Differential Equations and Spherical Real Hypersurfaces
Ilya Kossovskiy, Rasul Shafikov
We establish an injective correspondence between real-analytic nonminimal hypersurfaces , spherical at a generic point, and…