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A logarithmic Bogomolov--Sommese vanishing theorem on compact Kähler manifolds
Zhi Li, Xiankui Meng, Kai Pang, Chenghao Qing, Xiangyu Zhou
Source abstract
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 application, we obtain a rigidity result with vanishing second Chern class for logarithmic cotangent bundles by combining the vanishing theorem with a structure theorem of Iwai and Matsumura.
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