On Chow groups of toric schemes over a DVR

Abstract

We give an explicit combinatorial presentation of the Chow groups of a toric scheme over a DVR. As an application, we compute the Chow groups of several toric schemes over a DVR and of their special fibers.

Revised version. Many corrections were made. We thank an anonymous referee for pointing out some inaccuracies in the earlier version. Comments are welcome!