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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.CV2024
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…