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math.AG2026
A logarithmic Bogomolov--Sommese vanishing theorem on compact Kähler manifolds
Zhi Li, Xiankui Meng, Kai Pang +2
In this paper, we establish a logarithmic Bogomolov--Sommese vanishing theorem in terms of numerical dimension for pseudo-effective line bundles on compact Kähler manifolds. As an…
math.CV2026
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 function o…
math.CV2026
Capacity Stability of Complex Monge-Ampère Equations with Moving Prescribed Singularities
Kai Pang, Haoyuan Sun, Zhiwei Wang +1
For complex Monge-Ampère equations with moving big cohomology classes and prescribed model singularities of positive Monge-Ampère mass, we prove that, under total variation converg…