4 papers
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…
A remark on Bogomolov type vanishing theorem
Xiankui Meng, Chenghao Qing, Xiangyu Zhou
Several vanishing theorems for pseudo-effective line bundles are presented. All related results in the present note can be derived from already known theorems, in particular from t…
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…