Martin Kolář

activity

20192024

most citedA complete normal form for everywhere Levi degenerate hypersurfaces in

C^{3}

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2024

Holomorphic vector fields with real integral manifolds

Martin Kolář, Ilya Kossovskiy, Bernhard Lamel

We classify singular holomorphic vector fields in two-dimensional complex space admitting a (Levi-nonflat) real-analytic invariant 3-fold through the singularity. In this way, we c…

math.CV2023★ 1 cited

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

Martin Kolář, 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…

math.CV2019★ 3 cited

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…

Holomorphic vector fields with real integral manifolds

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

A complete normal form for everywhere Levi degenerate hypersurfaces in C3

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

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