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math.CV2026
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 pre…
math.CV2025
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 fo…