### Some remarks concerning mod-n K-theory, by Eric M. Friedlander and Mark E. Walker

The purpose of this short paper is to draw two conclusions concerning
mod-n algebraic K-theory of smooth, quasi-projective varieties over an
algebraically closed field by comparing this spectral sequence to its
"localization" which we show converges to mod-n etale K-theory. We
verify that the map from mod-n algebraic K-theory to mod-n etale
K-theory of a smooth quasi-projective variety X over an algebraically
closed field in which n is invertible is surjective in degrees greater
than or equal to twice the dimension of X. We show that certain
projective smooth 3-folds X constructed by S. Bloch and H. Esnault
have non-zero elements in K_0 of X with mod-n coefficients but which
are killed by multiplication by a sufficiently high power of the Bott
element.

Eric M. Friedlander <eric@math.nwu.edu>

Mark E. Walker <mwalker@math.unl.edu>