On the derived category of the adjoint Grassmannian of type F
Abstract
We construct a full rectangular Lefschetz collection in the derived category of the adjoint Grassmannian in type $\mathrm{F}_4$. This gives the first example of a full exceptional collection on this variety and also completes the proof of a conjecture due to Alexander Kuznetsov and the author that relates the structure of the derived category of coherent sheaves to the small quantum cohomology in the case of adjoint varieties for non-simply laced groups.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Advanced Topics in Algebra
Publication details
- Journal / source
- Algebraic Geometry and Physics
- Publisher
- International Press of Boston
- Volume
- 3
- Issue
- 1
- Pages
- 37–80
- Publication date
- 1 January 2026
- Language
- EN