Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex Kähler manifolds
Abstract
In this paper, we establish a logarithmic vanishing theorem on weakly pseudoconvex Kähler manifolds, where the divisor may have infinitely many irreducible components. This result serves as a generalization of Norimatsu's findings on compact Khler manifolds. We derive vanishing theorems for certain direct image sheaves as a direct corollary.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Tohoku Mathematical Journal
- Publisher
- Mathematical Institute, Tohoku University
- Volume
- 78
- Issue
- 2
- Pages
- 173-195
- Publication date
- 1 June 2026
- Language
- EN