The K-theory of toric varieties in positive characteristic

G. Cortiñas; C. Haesemeyer; Mark E. Walker; C. Weibel

doi:10.1112/jtopol/jtt026

The K-theory of toric varieties in positive characteristic

G. Cortiñas, C. Haesemeyer, Mark E. Walker, C. Weibel

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English (US)
Article number	jtt026
Pages (from-to)	247-286
Number of pages	40
Journal	Journal of Topology
Volume	7
Issue number	1
DOIs	https://doi.org/10.1112/jtopol/jtt026
State	Published - Mar 2014

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1112/jtopol/jtt026

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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.",

author = "G. Corti{\~n}as and C. Haesemeyer and Walker, {Mark E.} and C. Weibel",

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AU - Cortiñas, G.

AU - Haesemeyer, C.

AU - Walker, Mark E.

AU - Weibel, C.

PY - 2014/3

Y1 - 2014/3

N2 - 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.

AB - 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.

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The K-theory of toric varieties in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

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