Cohomology and Duality for (phi,Gamma)-modules over the Robba ring
| dc.creator | Liu, Ruochuan | |
| dc.date | 2007-11-27 | |
| dc.date | 2008-09-03 | |
| dc.date.accessioned | 2026-07-07T09:59:49Z | |
| dc.date.available | 2026-07-07T09:59:49Z | |
| dc.description | Given a p-adic representation of the Galois group of a local field, we show that its Galois cohomology can be computed using the associated etale (phi,Gamma)-module over the Robba ring; this is a variant of a result of Herr. We then establish analogues, for not necessarily etale (phi,Gamma)-modules over the Robba ring, of the Euler-Poincare characteristic formula and Tate local duality for p-adic representations. These results are expected to intervene in the duality theory for Selmer groups associated to de Rham representations. | |
| dc.description | 27 pages. Final version | |
| dc.identifier | https://arxiv.org/abs/0711.4346 | |
| dc.identifier | http://arxiv.org/abs/0711.4346 | |
| dc.identifier | Int Math Res Notices, 2007 Volume 2007: article ID rnm150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168162 | |
| dc.subject | Number Theory | |
| dc.subject | 11S25 | |
| dc.title | Cohomology and Duality for (phi,Gamma)-modules over the Robba ring | |
| dc.type | text |