Jiafu Ning

activity

20162026

most citedPositivity of holomorphic vector bundles in terms of

L^{p}

-conditions of

\partial ˉ

10 citations · 12 across the 8 of their papers we have counts for

collaborators

11 papers

math.CV2026

Invariance of plurigenera for Kähler families with nef canonical bundles

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

Let $p : X \to Δ$ be a proper holomorphic submersion from a Kähler manifold $X$ . We prove that, if $K_{X_{t}}$ is nef for every $t \in Δ$ , then $dim_{C} H^{0} (X_{t}, m K_{X_{t}})$ …

math.CV2026

A Converse to the Skoda $L^{2}$ division theorem II

Zhi Li, Xiankui Meng, Jiafu Ning +1

We prove a converse to the original Skoda $L^{2}$ division theorem, asserting that Skoda $L^{2}$ 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 $(X, ω)$ be a compact Kähler manifold and let $V \subset X$ be a closed complex submanifold. Coman-Guedj-Zeriahi proposed the problem: is every $ω ∣_{V}$ -plurisubharmonic function o…

math.CV2024

A Converse to the Skoda $L^{2}$ Division Theorem

Zhi Li, Xiankui Meng, Jiafu Ning +1

In this paper, we present a converse to a version of Skoda's $L^{2}$ division theorem by investigating the solvability of $\partial ˉ$ equations of a specific type.

math.CV2023

Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a se…

math.CV2022

Linear isometric invariants of bounded domains

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

We introduce two new conditions for bounded domains, namely $A^{p}$ -completeness and boundary blow down type, and show that, for two bounded domains $D_{1}$ and $D_{2}$ that are $A^{p}$ -co…

math.CV2022★ 2 cited

On a Bogomolov type vanishing theorem

Zhi Li, Xiangkui Meng, Jiafu Ning +2

Let $X$ be a compact Kähler manifold and $(L, h) \to X$ be a pseudoeffective line bundle, such that the curvature $i Θ_{L, h} \geq 0$ in the sense of currents. The main result o…

math.CV2021

On the extension of Kähler currents on compact Kähler manifolds: holomorphic retraction case

Jiafu Ning, Zhiwei Wang, Xiangyu Zhou

In the present paper, we show that given a compact Kähler manifold $(X, ω)$ with a Kähler metric $ω$ , and a complex submanifold $V \subset X$ of positive dimension, if $V$ has a holo…

math.CV2020★ 10 cited

Positivity of holomorphic vector bundles in terms of $L^{p}$ -conditions of $\partial ˉ$

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

We study the positivity properties of Hermitian (or even Finsler) holomorphic vector bundles in terms of $L^{p}$ -estimates of $\partial ˉ$ and $L^{p}$ -extensions of holomorphic objec…

math.CV2019

Characterizations of plurisubharmonic functions

Fusheng Deng, Jiafu Ning, Zhiwei Wang

We give characterizations of (quasi-)plurisubharmonic functions in terms of $L^{p}$ -estimates of $\partial ˉ$ and $L^{p}$ -extensions of holomorphic functions.

math.CV2016

A support function of the weighted $L^{2}$ integrations on the superlevel sets of the weights

Qi'an Guan, Zhenqian Li, Jiafu Ning

In this article, we establish a support function of the weighted $L^{2}$ integrations on the superlevel sets of the weights with optimal asymptoticity near the positive infinity, whi…

Invariance of plurigenera for Kähler families with nef canonical bundles

A Converse to the Skoda L2 division theorem II

On the extension of Kähler currents on compact complex manifolds

A Converse to the Skoda L2 Division Theorem

Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds

Linear isometric invariants of bounded domains

On a Bogomolov type vanishing theorem

On the extension of Kähler currents on compact Kähler manifolds: holomorphic retraction case

Positivity of holomorphic vector bundles in terms of Lp-conditions of ∂ˉ

Characterizations of plurisubharmonic functions

A support function of the weighted L2 integrations on the superlevel sets of the weights

A Converse to the Skoda $L^{2}$ division theorem II

A Converse to the Skoda $L^{2}$ Division Theorem

Positivity of holomorphic vector bundles in terms of $L^{p}$ -conditions of $\partial ˉ$

A support function of the weighted $L^{2}$ integrations on the superlevel sets of the weights