3 citations · 17 across the 20 of their papers we have counts for
25 papers
Strong Ramadanov Conjecture for Real Ellipsoids in : two approaches
Jan Gregorovic, Ilya Kossovskiy, Son-Ying Li +1
In this paper, we provide two (significantly different) proofs of the well known Strong Ramadanov Conjecture for the class of real ellipsoids in the complex -space.
Sphericity and Analyticity of a strictly pdeusoconvex hypersurface in low regularity I
Ilya Kossovskiy, Dmitri Zaitsev
In our earlier work \cite{KZ}, we introduced an analytic regularizability theory for smooth strictly pseudoconvex hypersurfaces in complex space. That is, we found a necessary and…
On the regularity of nondegenerate hypo-analytic structures of hypersurface type
Ilya Kossovskiy, Vinícius Novelli
For a smooth, non-degenerate locally integrable structure of hypersurface type on a manifold , we provide necessary and sufficient conditions for it to be equivalent, near a poi…
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…
The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture
Jan Gregorovic, Ilya Kossovskiy
We investigate the problem of holomorphic algebraizibility for real hypersurfaces in complex space. We introduce a new invariant of a (real-analytic) Levi-nondegenerate hypersurfac…
New examples of -nondegenerate real hypersurfaces in with arbitrary nilpotent symbols
Martin Kolář, Ilya Kossovskiy, David Sykes
We introduce a class of uniformly -nondegenerate CR hypersurfaces in , for , having a rank Levi kernel. The class is first of all remarkable by the fact t…