Crystalline representations of G_Qp^a with coefficients
| dc.creator | Zhu, Hui June | |
| dc.date | 2008-07-07 | |
| dc.date | 2009-02-26 | |
| dc.date.accessioned | 2026-07-07T12:46:27Z | |
| dc.date.available | 2026-07-07T12:46:27Z | |
| dc.description | This paper studies crystalline representations of G_K with coefficients of any dimension, where K is the unramified extension of Q_p of degree a. We prove a theorem of Fontaine-Laffaille type when σ-invariant Hodge-Tate weight less than p-1, which establishes the bijection between Galois stable lattices in crystalline representations and strongly divisible ϕ-lattice. In generalizing Breuil's work, we classify all reducible and irreducible crystalline representations of G_K of dimensional 2, then describe their mod p reductions. We generalize some results (of Deligne, Fontaine-Serre, and Edixhoven) to representations arising from Hilbert modular forms when σ-invariant Hodge-Tate weight less than p-1. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/0807.1078 | |
| dc.identifier | http://arxiv.org/abs/0807.1078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221387 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11-xx,14-xx | |
| dc.title | Crystalline representations of G_Qp^a with coefficients | |
| dc.type | text |