Homology, Homotopy and Applications
Volume 14 (2012)
The isomorphism between motivic cohomology and $K$-groups for equi-characteristic regular local rings
Pages: 281 – 285
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.
algebraic cycles, higher Chow groups, algebraic $K$-theory
2010 Mathematics Subject Classification
14C25, 14F42, 19E15