From the 1 of 4 linked papers with an AI index.
4 papers
On the extension of Kähler currents on compact complex manifolds
Jiafu Ning, Kai Pang, Haoyuan Sun +2
Let be a compact Kähler manifold and let be a closed complex submanifold. Coman-Guedj-Zeriahi proposed the problem: is every -plurisubharmonic functio…
Capacity Stability of Complex Monge-Ampère Equations with Moving Prescribed Singularities
Kai Pang, Haoyuan Sun, Zhiwei Wang +1
The paper studies complex Monge‑Ampère equations with moving big cohomology classes and prescribed singularities, showing equivalence of convergence notions in capacity and proving…
Degenerate Complex Hessian type equations on compact Hermitian manifolds and Applications
Kai Pang, Haoyuan Sun, Zhiwei Wang +1
The aim of this paper is to further develop the theory of the degenerate complex Hessian equations on compact Hermitian manifolds. Building upon the generalization of the Bedford-T…
Weak convergence of complex Monge-Ampère operators on compact Hermitian manifolds
Kai Pang, Haoyuan Sun, Zhiwei Wang
Let be a compact Hermitian manifold and let be a real -class with a smooth representative , such that $\int_Xβ^n>0$. Assume th…