Journal article
The K-theory of toric varieties in positive characteristic
G Cortiñas, C Haesemeyer, ME Walker, C Weibel
Journal of Topology | Published : 2014
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. © 2013 London Mathematical Society.
Grants
Awarded by National Science Foundation
Funding Acknowledgements
G. Cortinas' research was supported by Conicet and partially supported by grants UBACyT W386, PIP 112-200801-00900 and MTM2007-64704 (Feder funds). C. Haesemeyer's research was partially supported by NSF grant DMS-0966821. Mark E. Walker's research was partially supported by NSF grant DMS-0966600. C. Weibel's research was supported by NSA and NSF grants.