7 citations · 11 across the 5 of their papers we have counts for
14 papers
Geodesic distance and Monge-Ampère measures on contact sets
Eleonora Di Nezza, Chinh H. Lu
We prove a geodesic distance formula for quasi-psh functions with finite entropy, extending results by Chen and Darvas. We work with big and nef cohomology classes: a key result we…
Quasi-plurisubharmonic envelopes 3: Solving Monge-Ampère equations on hermitian manifolds
Vincent Guedj, Chinh H. Lu
We develop a new approach to -a priori estimates for degenerate complex Monge-Ampère equations on complex manifolds. It only relies on compactness and envelopes propert…
Quasi-plurisubharmonic envelopes 1: Uniform estimates on Kähler manifolds
Vincent Guedj, Chinh H. Lu
We develop a new approach to -a priori estimates for degenerate complex Monge-Ampère equations on complex manifolds. It only relies on compactness and envelopes propert…
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…
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…
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…