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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…