# Breakthrough in solving conjectures in Kahler geometry

In November, a significant milestone was reached in the field of geometric partial differential equations and complex geometry. 

Professor Chen Xiuxiong, founding director of the Institute of Geometry and Physics, University of Science and Technology of China, and his partner Cheng Jingrui published two papers: "On the constant scalar curvature K?hler metrics (I)—A priori estimates" and "On the constant scalar curvature K?hler metrics (II)—Existence results" in the Journal of the American Mathematical Society.

In these papers, they derived apriori estimates for constant scalar curvature K?hler metrics on a compact K?hler manifold and studied the existence of cscK metrics on compact K?hler manifolds.