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math.CV2026
Invariance of plurigenera for Kähler families with nef canonical bundles
Fusheng Deng, Jiafu Ning, Zhiwei Wang +1
Let be a proper holomorphic submersion from a Kähler manifold . We prove that, if is nef for every , then …
math.CV2026
A Converse to the Skoda division theorem II
Zhi Li, Xiankui Meng, Jiafu Ning +1
We prove a converse to the original Skoda division theorem, asserting that Skoda division estimates for a single nonzero holomorphic function force the weight to be plu…
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…