collaborators

4 papers

math.CV2026

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.

math.CV2025

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…

math.CV2025

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…

math.CV2025

A complete normal form for everywhere Levi degenerate hypersurfaces in

Martin Kolar, Ilya Kossovskiy

-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…