Rigid currents in birational geometry
Abstract
A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamics, algebraic and differential geometry. The goals of the present paper are: (a) to give a systematic treatment of rigid currents, (b) to demonstrate how they appear within the Minimal Model Program, and (c) to give many new examples of rigid currents.
Fields of Study & Subjects
Computational Geometry and Mesh Generation
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Annales de la faculté des sciences de Toulouse Mathématiques
- Volume
- 35
- Issue
- 2
- Pages
- 437–457
- Publication date
- 12 June 2026
- Language
- EN