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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.AG2026
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…