Gamma filtration

Summary

The gamma filtration is a decreasing filtration of an augmented lambda-ring, built from the gamma operations $\gamma^n$. On the K-group $K_0(X)$ of a smooth variety it is an algebraic substitute for the filtration by codimension of support. Grothendieck showed that, after tensoring with $\Q$, its graded pieces match the Chow groups of $X$.