5 citations · 6 across the 11 of their papers we have counts for
4 papers · 1 filter
Uniform estimates for complex Monge-Ampère equations II: Hermitian manifolds
Quang-Tuan Dang, Lei Zhang, Bin Zhou
We establish uniform estimates for degenerate complex Monge--Ampère equations on compact Hermitian manifolds under weak Orlicz integrability assumptions on the densities. Our estim…
Modulus of continuity of Monge--Ampère potentials in big cohomology classes
Quang-Tuan Dang, Hoang-Son Do, Hoang Hiep Pham
In this paper, we prove a uniform estimate for the modulus of continuity of solutions to degenerate complex Monge--Ampère equation in big cohomology classes. This improves the prev…
Singularities vs non-pluripolar Monge--Ampère masses
Quang-Tuan Dang, Hoang-Son Do, Hoang Hiep Pham
The aim of this paper is to compare singularities of closed positive currents whose non-pluripolar complex Monge--Ampère masses equal. We also provide a short alternative proof for…
Hermitian null loci
Quang-Tuan Dang
We establish a transcendental generalization of Nakamaye's theorem to compact complex manifolds when the form is not assumed to be closed. We apply the recent analytic technique de…