English

On a vanishing theorem due to Bogomolov

Complex Variables 2020-11-30 v1 Algebraic Geometry

Abstract

In this note, we give a new proof of a vanishing result originally due to Bogomolov, and later generalised by Mourougane and Boucksom. The statement holds for arbitrary pseudoeffective line bundles over compact K\"ahler manifolds, under an assumption on the numerical dimension of the line bundle.

Keywords

Cite

@article{arxiv.2011.13751,
  title  = {On a vanishing theorem due to Bogomolov},
  author = {Xiaojun Wu},
  journal= {arXiv preprint arXiv:2011.13751},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T20:33:11.331Z