Homology, Homotopy and Applications
Volume 7 (2005)
Proceedings of a Conference in honour of Victor Snaith
On reduction map for étale $K$-theory of curves
Pages: 1 – 10
In this paper we investigate reduction of nontorsion elements in the étale $K$-theory of a curve $X$ over a global field $F$. We show that the reduction map can be well understood in terms of Galois cohomology of $l$-adic representations.
Galois cohomology, $l$-adic representation, étale $K$-theory of a curve
2010 Mathematics Subject Classification