5 citations · 6 across the 11 of their papers we have counts for
12 papers
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…
Uniqueness and Stability of Monge--Ampère Potentials in Big Cohomology Classes
Quang-Tuan Dang, Lei Zhang, Bin Zhou
In this paper, we establish a stability estimate and a uniform estimate for the modulus of continuity of solutions to the degenerate complex Monge-Ampère equation in big cohomology…
Uniform estimates for complex Monge-Ampère equations: big cohomology classes
Quang-Tuan Dang, Lei Zhang, Bin Zhou
We prove uniform a priori estimates for solutions to degenerate complex Monge--Ampère equations in big cohomology classes, using both auxiliary-function technique developed by Guo,…
Regularity of solutions to Monge--Ampère equations on compact Hermitian manifolds
Quang-Tuan Dang
We study the stability and Hölder continuity of solutions to degenerate complex Monge--Ampère equations associated with a non-closed big form on compact Hermitian manifolds. We als…
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…
Singularities of the Chern-Ricci flow
Quang-Tuan Dang
We study the nature of finite-time singularities for the Chern-Ricci flow, partially answering a question of Tosatti-Weinkove. We show that a solution of degenerate parabolic compl…
Continuity of Monge-Ampère Potentials with Prescribed Singularities
Quang-Tuan Dang
We study the continuity of solutions to complex Monge-Ampere equations with prescribed singularities. This generalizes the previous results of DiNezza-Lu and the author. As an appl…
Pluripotential Chern-Ricci Flows
Quang-Tuan Dang
Extending a recent theory developed on compact Kähler manifolds by Guedj-Lu-Zeriahi and the author, we define and study pluripotential solutions to degenerate parabolic complex Mon…
Pluripotential Monge-Amp{è}re flows in Big Cohomology Classes
Quang-Tuan Dang
We study pluripotential complex Monge-Ampère flows in big cohomology classes on compact K{ä}hler manifolds. We use the Perron method, considering pluripotential subsolutions to the…
Continuity of Monge-Amp{è}re Potentials in Big Cohomology Classes
Quang-Tuan Dang
Extending DiNezza-Lu's approach to the setting of big cohomology classes, we prove that solutions of degenerate complex Monge-Amp{è}re equations on compact K{ä}hler manifolds are c…