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math.CV2026
Positivity of Smooth Currents on Singular Spaces
Duc-Thai Do, Duc-Viet Vu
We study two notions of positivity for smooth currents on singular spaces. We show that they are not equivalent by establishing a necessary condition on the fourth Whitney cones. W…
math.CV2023
Volume of components of Lelong upper-level sets
Do Duc Thai, Duc-Viet Vu
We prove an upper bound for the volume of maximal analytic sets on which the generic Lelong number of a closed positive current is positive. As a particular case, we give a uniform…