Let $X:=G/H$ be a complex homogeneous space. If we are given that the orbits of $X$ acting as a group of holomorphic transformations on a projective space $\mathbb CP^n$ are holomorphically separable and $\mathcal O(X)=\mathbb C$. How to show that $H$ is discrete?
2026-03-26 16:02:03.1774540923
Holomorphically separable homogeneous space
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