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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Autores principales: Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_17538416_v7_n1_p247_Cortinas
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Sumario: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.