On a vanishing theorem due to Bogomolov

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 Kähler manifolds, under an assumption on the numerical dimension of the line bundle.

11 pages

References in corpus (1)

• Foliations on complex projective surfaces

Cited by in corpus (1)

• On Junyan Cao's vanishing theorem for pseudoeffective line bundles