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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…
Vanishing theorems for pseudo-effective line bundles
Xiankui Meng, Chenghao Qing, Xiangyu Zhou
In the present paper, we establish a general Kawamata-Viehweg-Kollár-Nadel type vanishing theorem for higher direct images in terms of numerical dimension for closed positive curre…
A Converse to the Skoda Division Theorem
Zhi Li, Xiankui Meng, Jiafu Ning +1
In this paper, we present a converse to a version of Skoda's division theorem by investigating the solvability of equations of a specific type.
On a Bogomolov type vanishing theorem
Zhi Li, Xiangkui Meng, Jiafu Ning +2
Let be a compact Kähler manifold and be a pseudoeffective line bundle, such that the curvature in the sense of currents. The main result o…
On the restriction formula
Xiankui Meng, Xiangyu Zhou
Let be a quasi-psh function on a complex manifold and let be a complex submanifold. Then the multiplier ideal sheaves $\mathcal{I}(φ|_S)\subset\mathcal{I}(φ)|_…
A generalization of Nadel vanishing theorem
Xiankui Meng, Xiangyu Zhou
In this paper we first prove a version of existence theorem for line bundles equipped a singular Hermitian metrics. Aa an application, we establish a vanishing theorem whic…