#### DOCUMENTA MATHEMATICA, Vol. 1 (1996), 395-416

Bruno Kahn

Applications of Weight-Two Motivic Cohomology

Using Lichtenbaum's complex $\Gamma(2)$, we reprove and extend a little bit some known results relating the kernel of $H^3(F,{\bold Q}/{\bold Z}(2))\to H^3(F(X),{\bold Q}/{\bold Z}(2))$ to the torsion of $CH^2 X$ for rational varieties $X$.

1991 Mathematics Subject Classification: Primary 14C35, secondary 19E20.

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