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.

Full text: dvi.gz 36 k, dvi 97 k, ps.gz 92 k, pdf 244k

Home Page of DOCUMENTA MATHEMATICA