### The higher K-theory of a complex surface, by Claudio Pedrini and Charles A. Weibel

Let X be a smooth complex variety of dimension at most two, and let
F be its function field. We prove that the K-groups of F are
divisible above the dimension of X, and that the K-groups of X
are divisible-by-finite.

We also describe the torsion in the K-groups of F and X.
The classical Betti cohomology of X completely describes this torsion.

This paper appeared in *Compositio Math.* 129 (2001), 239-271.

Claudio Pedrini <pedrini@dima.unige.it>

Charles A. Weibel <weibel@math.rutgers.edu>