144 citations · 420 across the 30 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.DG2017★ 2 cited
Compactness of Kähler metrics with bounds on Ricci curvature and I functional
Xiuxiong Chen, Tamás Darvas, Weiyong He
We prove a compactness theorem for Kähler metrics with various bounds on Ricci curvature and the functional. We explore applications of our result to the continuity me…
math.DG2017★ 4 cited
Convergence of the Kähler-Ricci iteration
Tamás Darvas, Yanir A. Rubinstein
The Ricci iteration is a discrete analogue of the Ricci flow. According to Perelman, the Ricci flow converges to a Kahler-Einstein metric whenever one exists, and it has been conje…
math.DG2017★ 61 cited
Monotonicity of non-pluripolar products and complex Monge-Ampère equations with prescribed singularity
Tamás Darvas, Eleonora Di Nezza, Chinh H. Lu
We establish the monotonicity property for the mass of non-pluripolar products on compact Kahler manifolds, and we initiate the study of complex Monge-Ampere type equations with pr…