7 citations · 13 across the 13 of their papers we have counts for
14 papers · 1 filter
Singular Calabi-Yau metrics
Eleonora Di Nezza, Chinh H. Lu
These are notes of lectures given by the first named author during the CIME Summer school Calabi-Yau varieties. We survey known results concerning the complex Monge-Ampère equation…
A new approach to the Monge-Ampère eigenvalue problem
Chinh H. Lu, Ahmed Zeriahi
We study the eigenvalue problem for the complex Monge-Ampère operator in bounded hyperconvex domains in $\C^n$, where the right-hand side is a non-pluripolar positive Borel measure…
On uniqueness of solutions to complex Monge-Ampère mean field equations
Chinh H. Lu, Trong-Thuc Phung
We establish the uniqueness of solutions to complex Monge-Ampère mean field equations when the temperature parameter is small. In the local setting of bounded hyperconvex domains,…
Relative pluripotential theory on compact Kähler manifolds
Tamás Darvas, Eleonora Di Nezza, Chinh H. Lu
Given a compact Kähler manifold, we survey the study of complex Monge-Ampère type equations with prescribed singularity type, developed by the authors in a series of papers. In add…
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…