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math.CV2025
An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains
Thai Duong Do, Ngoc Thanh Cong Pham
In this paper, we study the non-pluripolar complex Monge-Ampère measure on bounded domains in \( \mathbb{C}^n \). We establish a general existence theorem for a non-pluripolar comp…
math.DG2025
Non-collapsing volume estimate for local Kähler metrics in big cohomology classes
Thai Duong Do, Duc-Bao Nguyen, Duc-Viet Vu
We prove a uniform local non-collapsing volume estimate for a large family of singular metrics in the big cohomology classes, which are Kähler on an open Euclidean subset of the ma…