Strong Ramadanov Conjecture for Real Ellipsoids in \mathbb C²: two approaches

2026/07/25 by Jan Gregorovic, Ilya Kossovskiy, Son-Ying Li +1
Mathematics · #math.CV

paper · pdf

Abstract

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 2-space.

Citations

• The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture
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• Analytic Differential Equations and Spherical Real Hypersurfaces
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• The Khavinson-Shapiro Conjecture for the Bergman Projection in One and Several Complex Variables