The reduction Map for the etale K-theory of a curve, by G. Banaszak, W. Gajda, B. Kahn, and P. Krason

In the present work, we investigate the reduction map on the etale K-theory of a curve defined over a global field. We prove that on the even-dimensional K-groups the map has finite kernel and reduce the odd-dimensional case to a conjecture of Jannsen.


G. Banaszak <BANASZAK@math.amu.edu.pl>
W. Gajda <GAJDA@math.amu.edu.pl>
B. Kahn <KAHN@mathp7.jussieu.fr>
P. Krason <KRASON@uoo.univ.szczecin.pl>