nLab
motivic spectrum

Idea

An object in motivic homotopy theory stabilized not with respect to the categorical sphere, but the geometric (algebraic) sphere.

See at motivic homotopy theory – The stable motivic homotopy category.

References

In the context of Snaith's theorem:

• David Gepner, Victor Snaith, On the motivic spectra representing algebraic cobordism and algebraic K-theory, Documenta Math. 2008 (arXiv:0712.2817)