The main application of canonical models are completeness proofs.

Finding a canonical inner model for supercompact cardinals is one of the major problems of inner model theory.

It is possible to describe a multitude of parabolic bursting cells by deriving a simple mathematical model, called a canonical model.

The canonical model assumes the errors are jointly normal.

If this is true then is called the relative canonical model of , or the canonical blow-up of .

The relative canonical model was independent of the choice of resolution.

It was not known whether relative canonical models were Cohen-Macaulay.

The class of varieties that are relative canonical models have canonical singularities.

V has canonical singularities if and only if it is a relative canonical model.