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math.CV2024
Quantitative stability for the complex Monge-Ampère equations I
Hoang-Son Do, Duc-Viet Vu
We generalize several known stability estimates for complex Monge-Ampère equations to the setting of low (or high) energy potentials. We apply our estimates to obtain, among other…
math.CV2024
Volumes of components of Lelong upper level sets II
Shuang Su, Duc-Viet Vu
Let be a compact Kähler manifold of dimension , and let be a closed positive -current in a nef cohomology class on . We establish an optimal upper bound for th…