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Unramified Abelian Extensions of CM-Fields and their Galois Module Structure

✍ Scribed by Brinkhuis, J.

Book ID
120091890
Publisher
Oxford University Press
Year
1992
Tongue
English
Weight
147 KB
Volume
24
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES

Galois Module Structure of Jacobians in
Galois Module Structure of Jacobians in Unramified Extensions
✍ Martha Rzedowski-CalderΓ³n; Gabriel Villa-Salvador πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 102 KB

For a finite unramified Galois -extension of function fields over an algebraically closed field of characteristic different from , we find the Galois module structure of the elements of the Jacobian whose orders are powers of .

Deformations of locally abelian Galois r
Deformations of locally abelian Galois representations and unramified extensions
✍ Sachiko Ohtani πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 180 KB

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.