A Cohomological Description of Abelian Galois Extensions
β Scribed by Morris Orzech
- Book ID
- 125670068
- Publisher
- American Mathematical Society
- Year
- 1969
- Tongue
- English
- Weight
- 434 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/1994817
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π 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.
asked if every Abelian variety A defined over a number field k with dim A > 0 has infinite rank over the maximal Abelian extension k ab of k. We verify this for the Jacobians of cyclic covers of P 1 , with no hypothesis on the Weierstrass points or on the base field. We also derive an infinite rank