The K‐theory of toric varieties in positive characteristic

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 w...

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Bibliographic Details
Published in:Journal of topology 2014-03, Vol.7 (1), p.247-286
Main Authors: Cortiñas, G., Haesemeyer, C., Walker, Mark E., Weibel, C.
Format: Article
Language:English
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Summary: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.
ISSN:1753-8416
1753-8424
DOI:10.1112/jtopol/jtt026