Explicit deformation of Galois representations
โ Scribed by Nigel Boston
- Book ID
- 105130273
- Publisher
- Springer-Verlag
- Year
- 1991
- Tongue
- English
- Weight
- 844 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study the deformation theory of Galois representations whose restriction to every decomposition subgroup is abelian. As an application, we construct unramified non-solvable extensions over the field obtained by adjoining all p-power roots of unity to the field of rational numbers.
In a previous paper the second author proved that the image of the Galois representation modulo attached to a Hilbert modular newform is "large" for all but finitely many primes , if the newform is not a theta series. In this brief note, we give an explicit bound for this exceptional finite set of p