GIT stability and biquotients of $SU(3)$

Yoshinori Hashimoto, Hiroaki Ishida, Hisashi Kasuya

We study double-sided actions of $({\mathbb{C}}^{\ast }{)}^2$ on $SL(3,\mathbb{C})/U$ and the associated quotients, where $U$ is a maximal unipotent subgroup of $SL(3,\mathbb{C})$. The main…