A valuative criterion of K-polystability
Abstract
For any log Fano pair with a torus action, we associate a computable invariant to it, such that the pair is (weighted) K-polystable if and only if this invariant is greater than one. As an application, we present examples of Fano varieties admitting g g -solitons for any weight function g g .
Fields of Study & Subjects
Fuzzy and Soft Set Theory
Fuzzy Systems and Optimization
Multi-Criteria Decision Making
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Volume
- 379
- Issue
- 8
- Pages
- 5503–5528
- Publication date
- 16 April 2026
- Language
- EN