61 citations · 233 across the 26 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.CV2020
Finite entropy vs finite energy
Eleonora Di Nezza, Vincent Guedj, Chinh H. Lu
Probability measures with either finite Monge-Ampère energy or finite entropy have played a central role in recent developments in Kähler geometry. In this note we make a systemati…
math.CV2020
Comparison of Monge-Ampère capacities
Chinh H. Lu
Let be a compact Kähler manifold. We prove that all Monge-Ampère capacities are comparable. Using this we give an alternative direct proof of the integration by parts formu…
math.CV2020
Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds
Chinh H. Lu, Trong-Thuc Phung, Tât-Dat Tô
Let be a compact Hermitian manifold. We establish a stability result for solutions to complex Monge-Ampère equations with right-hand side in , . Using this we pro…