Grothendieck rings of \mathbb{Z}-valued fields
| dc.creator | Cluckers, Raf | |
| dc.creator | Haskell, Deirdre | |
| dc.date | 2003-11-25 | |
| dc.date.accessioned | 2026-07-07T05:03:14Z | |
| dc.date.available | 2026-07-07T05:03:14Z | |
| dc.description | We prove the triviality of the Grothendieck ring of a integer-valued field K under slight conditions on the logical language and on K. We construct a definable bijection from the plane K^2 to itself minus a point. When we specialize to local fields with finite residue field, we construct a definable bijection from the valuation ring to itself minus a point. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311435 | |
| dc.identifier | http://arxiv.org/abs/math/0311435 | |
| dc.identifier | Bull. Symbolic Logic 7 (2001), 262--269 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69334 | |
| dc.subject | Logic | |
| dc.title | Grothendieck rings of \mathbb{Z}-valued fields | |
| dc.type | text |