Below we include a schematic overview of the classification theory of algebraic geometry. The work of the members of the Chair of Algebraic Geometry mostly connect to this diagram, in different settings of characteristics: characteristic zero, positive characteristic and mixed characteristic. Some explanation on the notation:
- Green objects: outputs of the classification theory.
- Blue rectangles: “algorithms” and constructions of the classification theory.
- Brown rectangles: Principal notions of “Higher dimensional compact moduli theory”