K-stability of Fano 3-folds in the World of Null-A
Abstract
Abstract A variety is said to satisfy Condition $$(\textbf{A})$$ ( A ) if every finite abelian subgroup of its automorphism group has a fixed point. We show that a smooth Fano 3-fold not satisfying Condition $$(\textbf{A})$$ ( A ) is K-polystable unless it is contained in eight exceptional deformation families (seven of them consist of one smooth member, and one of them has two-parameter moduli).
Fields of Study & Subjects
Geometry and complex manifolds
Mathematical Dynamics and Fractals
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Transformation Groups
- Publication date
- 8 July 2026
- Language
- EN