Fixed divisors on hyperkähler manifolds
Abstract
Abstract Let be a hyperkähler manifold, and let be a nef and big divisor on . We show that the fixed part of the linear system is reduced, and as a consequence, that is mobile. If has dimension 4, we also show that if the fixed part of is not empty, the mobile part induces a (rational) Lagrangian fibration.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Proceedings of the London Mathematical Society
- Volume
- 132
- Issue
- 4
- Publication date
- 1 April 2026
- Language
- EN