Xiaowei Wang, Rutgers University Newark
“Greatest Ricci curvature lower bounds and conic K ̈ahler-Einstein metrics”
In this joint work with Jian Song, we study the existence of conical K ̈ahler-Einstein metrics on a Fano manifold X and its relation to the greatest Ricci curvature lower bound R(X) of X. In particular, for any toric Fano varieties, a unique smooth conical toric K ̈ahler-Einstein metric with ?angle 2πR along an effective toric Q-divisor D ∈ | − KX | is constructed. Finally, several applications of the existence result will be given.