Localization sequence for Chow groups
= Localization sequence for Chow groups
For a closed immersion $j:Z\hookrightarrow X$ with open complement $i:U\hookrightarrow X$, restriction and proper pushforward give an exact sequence
$$
A_k(Z)\xrightarrow{j_*}A_k(X)\xrightarrow{i^*}A_k(U)\to0.
$$