Martin Kolář

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math.CV2025

A complete normal form for everywhere Levi degenerate hypersurfaces in $C^{3}$

Martin Kolar, Ilya Kossovskiy

$2$ -nondegenerate real hypersurfaces in complex manifolds play an important role in CR-geometry and the theory of Hermitian Symmetric Domains. In this paper, we construct a complet…

math.CV2024

New examples of $2$ -nondegenerate real hypersurfaces in $C^{N}$ with arbitrary nilpotent symbols

Martin KolÃ¡Å, Ilya Kossovskiy, David Sykes

We introduce a class of uniformly $2$ -nondegenerate CR hypersurfaces in $C^{N}$ , for $N > 3$ , having a rank $1$ Levi kernel. The class is first of all remarkable by the fact t…

A complete normal form for everywhere Levi degenerate hypersurfaces in C3

New examples of 2-nondegenerate real hypersurfaces in CN with arbitrary nilpotent symbols

A complete normal form for everywhere Levi degenerate hypersurfaces in $C^{3}$

New examples of $2$ -nondegenerate real hypersurfaces in $C^{N}$ with arbitrary nilpotent symbols