We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. While in general such a pair could behave pathologically, it is observed in this note that the K-semistability condition will force them to have a klt anticanonical model, whose stability property is the same as that of the original pair.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology
- finite generation
- log Fano varieties