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Geometric deformations of modular Galois representations

✍ Scribed by Mark Kisin


Book ID
105911871
Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
594 KB
Volume
157
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES


Special cohomology classes for modular G
✍ Benjamin Howard πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 344 KB

Building on ideas of Vatsal [Uniform distribution of Heegner points, Invent. Math. 148(1) (2002) 1-46], Cornut [Mazur's conjecture on higher Heegner points, Invent. Math. 148(3) (2002) 495-523] proved a conjecture of Mazur asserting the generic nonvanishing of Heegner points on an elliptic curve E /

Deformations of locally abelian Galois r
✍ 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.