Prescribed Scaler Curvatures for Homogeneous Toric Bundles
  In this paper, we study the generalized Abreu equation on a Delzant ploytope $\Delta \subset \mathbb{R}^2$ and prove the existence of the constant scalar metrics of homogeneous toric bundles under the assumption of an appropriate stability. 
Bohui Chen, Qing Han, An-Min Li, Zhao Lian, and Li Sheng
math.DG