Modularity of some potentially Barsotti-Tate Galois representations
| dc.creator | Savitt, David | |
| dc.date | 2002-05-18 | |
| dc.date | 2002-07-03 | |
| dc.date.accessioned | 2026-07-07T04:48:35Z | |
| dc.date.available | 2026-07-07T04:48:35Z | |
| dc.description | We prove a portion of a conjecture of B. Conrad, F. Diamond, and R. Taylor, yielding some new cases of the Fontaine-Mazur conjectures, specifically, the modularity of certain potentially Barsotti-Tate Galois representations. The proof follows the template of Wiles, Taylor-Wiles, and Breuil-Conrad-Diamond-Taylor, and relies on a detailed study of the descent, across tamely ramified extensions, of finite flat group schemes over the integers of a local field. This makes crucial use of the filtered ϕ_1-modules of C. Breuil. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/math/0205201 | |
| dc.identifier | http://arxiv.org/abs/math/0205201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64101 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F80; 14L15 | |
| dc.title | Modularity of some potentially Barsotti-Tate Galois representations | |
| dc.type | text |