The K‐theory of toric varieties in positive characteristic. (7th August 2013)

• Record Type: Journal Article
• Authors: Cortiñas, G.; Haesemeyer, C.; Walker, Mark E.; Weibel, C.
• Is Part Of: Journal of topology. Volume 7:Part 1(2014)
• Page Start: 247
• Page End: 286
• Publication Date: 2013-08-07
• Subjects: Topology -- Periodicals; 514.05
• DOI: 10.1112/jtopol/jtt026
• Languages: English
• ISSNs: 1753-8416

Abstract

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.