Strong Ramadanov Conjecture for Real Ellipsoids in $\mathbb C^2$: two approaches

Jan Gregorovic; Ilya Kossovskiy; Son-Ying Li; Kevin Shi

Strong Ramadanov Conjecture for Real Ellipsoids in $\mathbb C^2$: two approaches

Complex Variables 2026-07-25 v1

Authors: Jan Gregorovic , Ilya Kossovskiy , Son-Ying Li , Kevin Shi

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.

Keywords

Ramadanov Conjecture real ellipsoids complex space proofs

Cite

@article{arxiv.2607.23185,
  title  = {Strong Ramadanov Conjecture for Real Ellipsoids in $\mathbb C^2$: two approaches},
  author = {Jan Gregorovic and Ilya Kossovskiy and Son-Ying Li and Kevin Shi},
  journal= {arXiv preprint arXiv:2607.23185},
  year   = {2026}
}