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math.CV2025
Singularity of non-pluripolar cohomology classes
Duc-Bao Nguyen, Shuang Su, Duc-Viet Vu
We establish a relation between Lelong numbers and the full mass property of relative non-pluripolar products. We use this relation to prove that if the restricted volume of a big…
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…