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math.CV2026
Quantitative hyperbolicity for complex manifolds via numerical invariants
Tien-Cuong Dinh, Duc-Bao Nguyen, Duc-Viet Vu
We introduce numerical invariants called hyperbolic indices, which measure the hyperbolicity of compact Kähler manifolds using directed positive closed currents. We prove that if…
math.CV2026
Siu's analyticity theorem for positive pluriharmonic currents
Tien-Cuong Dinh, Viet-Anh Nguyen
Let be a positive $\ddc$-closed current of bidimension on a projective manifold of dimension We show that for every the set of points of where the…