MMP for Generalized Pairs on K\"ahler 3-folds
Abstract
In this article we define generalized pairs (X, B + β) where X is an analytic variety and β is a b-(1,1) current.We then prove that almost all standard results of the MMP hold in this generality for compact Kähler varieties of dim X ≤ 3.More specifically, we prove the cone theorem, existence of flips, existence of log terminal models, log canonical models and Mori fiber spaces, geography of log canonical and log terminal models, etc.
Fields of Study & Subjects
Meromorphic and Entire Functions
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Publication details
- Journal / source
- ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
- Publisher
- Scuola Normale Superiore - Edizioni della Normale
- Pages
- 52–52
- Publication date
- 7 April 2026
- Language
- EN