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A logarithmic Bogomolov--Sommese vanishing theorem on compact Kähler manifolds
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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BibTeX
@misc{li2026logarithmic,
title = {{A logarithmic Bogomolov--Sommese vanishing theorem on compact Kähler manifolds}},
author = {Zhi Li and Xiankui Meng and Kai Pang and Chenghao Qing and Xiangyu Zhou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01965},
eprint = {2609.01965},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01965},
}
RIS
TY - UNPB
TI - A logarithmic Bogomolov--Sommese vanishing theorem on compact Kähler manifolds
AU - Zhi Li
AU - Xiankui Meng
AU - Kai Pang
AU - Chenghao Qing
AU - Xiangyu Zhou
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.01965
UR - https://arxiv.org/abs/2609.01965
AB - 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.
ER -