The higher Hilbert pairing via (phi,G)-modules
| dc.creator | Zerbes, Sarah Livia | |
| dc.date | 2007-05-29 | |
| dc.date.accessioned | 2026-07-07T08:03:32Z | |
| dc.date.available | 2026-07-07T08:03:32Z | |
| dc.description | We prove the Tate duality for higher dimensional local fields of mixed characteristic (0,p), when p is an odd prime, using the theory of higher fields of norms. Assuming that p is not ramified in the basefield, we then use this construction to define the higher Hilbert pairing. In particular, we show that the Hilbert pairing is non-degenerate, and we re-discover the formulae of Brueckner and Vostokov. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0705.4269 | |
| dc.identifier | http://arxiv.org/abs/0705.4269 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129612 | |
| dc.subject | Number Theory | |
| dc.title | The higher Hilbert pairing via (phi,G)-modules | |
| dc.type | text |