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math.CV2015
Sphericity of a real hypersurface via projective geometry
Ilya Kossovskiy
In this work, we obtain an unexpected geometric characterization of sphericity of a real-analytic Levi-nondegenerate hypersurface . We prove that is sphe…
math.CV2015
On the embeddability of real hypersurfaces into hyperquadrics
Ilya Kossovskiy, Ming Xiao
In this paper, we provide {\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any , the defining fun…
math.CV2015★ 2 cited
New extension phenomena for solutions of tangential Cauchy\,-\,Riemann Equations
Ilya Kossovskiy, Bernhard Lamel
In our recent work [25] we showed that CR-diffeomorphisms of real-analytic Levi-nonflat hypersurfaces in are not analytic in general. This result raised…