Deformation of Outer Representations of Galois Group II
| dc.creator | Rastegar, Arash | |
| dc.date | 2006-09-30 | |
| dc.date.accessioned | 2026-07-07T07:28:32Z | |
| dc.date.available | 2026-07-07T07:28:32Z | |
| dc.description | This paper is devoted to deformation theory of "anabelian" representations of the absolute Galois group landing in outer automorphism group of the algebraic fundamental group of a hyperbolic smooth curve defined over a number-field. In the first part of this paper, we obtained universal deformations for Lie-algebra versions of the above representation using the Schlessinger criteria for functors on Artin local rings. In the second part, we use a version of Schlessinger criteria for functors on the Artinian category of nilpotent Lie algebras which is formulated by Pridham, and explore arithmetic applications. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610012 | |
| dc.identifier | http://arxiv.org/abs/math/0610012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117762 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11G30 (Primary); 17B10; 17B56; 17B65 (Secondary) | |
| dc.title | Deformation of Outer Representations of Galois Group II | |
| dc.type | text |