Work

A logarithmic Bogomolov--Sommese vanishing theorem on compact Kähler manifolds

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.01965

Authors: Li, Zhi, Meng, Xiankui, Pang, Kai, Qing, Chenghao, Zhou, Xiangyu

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation

Awards: G1603846912, G1619250707, G8533620077

OpenAlex ID: W7207743231

Cites: 3

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Related to: 10