Vanishing theorems for pseudo-effective line bundles
Abstract
In the present paper, we establish a general Kawamata-Viehweg-Kollár-Nadel type vanishing theorem for higher direct images in terms of numerical dimension for closed positive currents on compact Kähler manifolds, unifying a number of important vanishing theorems.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 14 February 2026
- Language
- EN
- Document type
- Preprint