The K-theory of toric varieties in positive characteristic

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.

Companion paper to arXiv:1106.1389

Cited by in corpus (4)

• Picard Groups and Class Groups of Monoid Schemes
• Vector bundles on proper toric 3-folds and certain other schemes
• Negative $K$-theory and Chow group of monoid algebras
• Excision, descent, and singularity in algebraic $K$-theory