Kähler-Einstein metrics on smooth Fano toroidal symmetric varieties of type AIII

Kyusik Hong, DongSeon Hwang, Kyeong-Dong Park

The wonderful compactification $X_m$ of a symmetric homogeneous space of type AIII$(2,m)$ for each $m\ge 4$ is Fano, and its blowup $Y_m$ along the unique closed orbit is Fano if…