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arXiv · 1207.2891

The K-theory of toric varieties in positive characteristic

Guillermo Cortiñas·Christian Haesemeyer·Mark E. Walker·Charles A. Weibel
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Abstract

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

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Guillermo Cortiñas, Christian Haesemeyer, Mark E. Walker, Charles A. Weibel. 2012-07-12. The K-theory of toric varieties in positive characteristic. https://doi.org/10.1112/jtopol%2Fjtt026

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