Equivariant $\mathbb{R}$-test configurations and semistable limits of $\mathbb{Q}$-Fano group compactifications

Yan Li, ZhenYe Li

Let $G$ be a connected, complex reductive group. In this paper, we classify $G\times G$-equivariant normal $\mathbb{R}$-test configurations of a polarized $G$-compactification. Then…