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...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2014 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/18781 |
| Online Access: | http://hdl.handle.net/11336/18781 |
| Access Level: | Open access |
| Keyword: | K-Theory Topological Cyclic Homology Monoid Scheme Gubeladze'S Nilpotency Conjecture. https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | 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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