Hilbert's Tenth Problem for function fields over valued fields in characteristic zero
| dc.creator | Demeyer, Jeroen | |
| dc.date | 2009-02-02 | |
| dc.date.accessioned | 2026-07-07T12:36:57Z | |
| dc.date.available | 2026-07-07T12:36:57Z | |
| dc.description | Let K be a field with a valuation satisfying the following conditions: both K and the residue field k have characteristic zero; the value group is not 2-divisible; there exists a maximal subfield F in the valuation ring such that Gal(\bar{F}/F) and Gal(\bar{k}/k) have the same 2-cohomological dimension and this dimension is finite. Then Hilbert's Tenth Problem has a negative answer for any function field of a variety over K. In particular, this result proves undecidability for varieties over C((T)). | |
| dc.description | Submitted to Algebra & Number Theory | |
| dc.identifier | https://arxiv.org/abs/0902.0247 | |
| dc.identifier | http://arxiv.org/abs/0902.0247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218273 | |
| dc.subject | Number Theory | |
| dc.subject | Logic | |
| dc.subject | 12L05 (14H05 12J10 03B25 12G10) | |
| dc.title | Hilbert's Tenth Problem for function fields over valued fields in characteristic zero | |
| dc.type | text |