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arxiv: 1207.2891 · v1 · pith:U2G3MO6Vnew · submitted 2012-07-12 · 🧮 math.KT · math.AG· math.AT

The K-theory of toric varieties in positive characteristic

classification 🧮 math.KT math.AGmath.AT
keywords characteristictoricaffinecaseconjecturedcontainingdilationsdirect
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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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