(1) For any smooth projective variety X and any integer n greater than or equal to 0,

(2) A certain modified cycle class map from a version of motivic cohomology to continuous étale l-adic cohomology is a quasi-isomorphism.

(3) Continuous étale cohomology with coefficients Q_{l}(n) is malleable
for n>0.

Here, l is a prime number different from p.

The equivalence between (1) and (2) had been proven earlier in preprint 247, under resolution of singularities.

- 0529.bib (266 bytes)
- glr.dvi (146388 bytes) [November 26, 2001]
- glr.dvi.gz (59506 bytes)
- glr.pdf (281612 bytes)
- glr.ps.gz (251209 bytes)

Bruno Kahn <kahn@math.jussieu.fr>