On PAC Extensions and Scaled Trace Forms
| dc.creator | Bary-Soroker, Lior | |
| dc.creator | Kelmer, Dubi | |
| dc.date | 2007-05-24 | |
| dc.date | 2007-08-29 | |
| dc.date.accessioned | 2026-07-07T08:26:00Z | |
| dc.date.available | 2026-07-07T08:26:00Z | |
| dc.description | Any non-degenerate quadratic form over a Hilbertian field (e.g., a number field) is isomorphic to a scaled trace form. In this work we extend this result to more general fields. In particular, prosolvable and prime-to-p extensions of a Hilbertian field. The proofs are based on the theory of PAC extensions. | |
| dc.description | 10 pages; added results on prime-to-p extensions, removed the condition on the countability of the fields | |
| dc.identifier | https://arxiv.org/abs/0705.3573 | |
| dc.identifier | http://arxiv.org/abs/0705.3573 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136804 | |
| dc.subject | Number Theory | |
| dc.title | On PAC Extensions and Scaled Trace Forms | |
| dc.type | text |