Geodesic
The isomorphism between motivic cohomology and $K$-groups for equi-characteristic regular local rings
Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 281-285.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2012.v14.n1.a14
Classification : 14C25, 14F42, 19E15
Keywords: algebraic cycles, higher Chow groups, algebraic $K$-theory 
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Yuki Kato. The isomorphism between motivic cohomology and $K$-groups for equi-characteristic regular local rings. Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 281-285. doi : 10.4310/HHA.2012.v14.n1.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n1.a14/

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