One of the well-known problems in algebraic K-theory is the comparison of higher Chow groups and K-groups. In this paper, using the motivic complex defined by Voevodsky-Suslin-Friedlander, we prove the comparison theorem for equi-characteristic regular local rings.
Homology, Homotopy and Applications, Vol. 14 (2012), No. 1, pp.281-285.