4 papers · 1 filter
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…
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…
A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections
George Marinescu, Duc-Viet Vu
This is a survey of results concerning the asymptotic equilibrium distribution of zeros of random holomorphic polynomials and holomorphic sections of high powers of a positive line…
Log continuity of solutions of complex Monge-Ampère equations
Hoang-Son Do, Duc-Viet Vu
Let be a compact Kähler manifold whose anticanonical cohomology class is semipositive. Let be a big and semi-ample line bundle on and be the Chern class of . W…