The K-theory of toric varieties in positive characteristic

Authors

G. Cortiñas, Universidad de Buenos AiresFollow
C. Haesemeyer, University of California - Los AngelesFollow
Mark E. Walker, University of Nebraska-LincolnFollow
C. Weibel, Rutgers University - New Brunswick/PiscatawayFollow

Document Type

Article

Date of this Version

2014

Citation

From arXiv.org > math > arXiv:1207.2891 http://arxiv.org/abs/1207.2891
(Submitted on 12 Jul 2012)

Published in Journal of Topology 7 (2014) 247–286; doi: 10.1112/jtopol/jtt026
First published online: August 6, 2013

Comments

Copyright 2013 London Mathematical Society.

Abstract

We show that if X is a toric scheme over a regular ring containing a field of finite characteristic, then the direct limit of the K-groups of X taken over any infinite sequence of non-trivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result was conjectured by Gubeladze.