Geodesic
On the structure of Selmer groups of lambda-adic deformations over $p$-adic Lie extensions
Documenta mathematica, Tome 17 (2012), pp. 573-606
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

In this paper, we consider the Λ-adic deformations of Galois representations associated to elliptic curves. We prove that the Pontryagin dual of the Selmer group of a Λ-adic deformation over certain p-adic Lie extensions of a number field, that are not necessarily commutative, has no non-zero pseudo-null submodule. We also study the structure of various arithmetic Iwasawa modules associated to such deformations.
DOI : 10.4171/dm/376
Classification : 11F80, 11R34, 14H52
Mots-clés : Selmer groups, Galois cohomology, elliptic curve, Galois representation, deformations, p-adic Lie extensions 
@article{10_4171_dm_376,
     author = {R. Sujatha and Sudhanshu Shekhar},
     title = {On the structure of {Selmer} groups of lambda-adic deformations over $p$-adic {Lie} extensions},
     journal = {Documenta mathematica},
     pages = {573--606},
     year = {2012},
     volume = {17},
     doi = {10.4171/dm/376},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/376/}
}
TY  - JOUR
AU  - R. Sujatha
AU  - Sudhanshu Shekhar
TI  - On the structure of Selmer groups of lambda-adic deformations over $p$-adic Lie extensions
JO  - Documenta mathematica
PY  - 2012
SP  - 573
EP  - 606
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/376/
DO  - 10.4171/dm/376
ID  - 10_4171_dm_376
ER  - 
%0 Journal Article
%A R. Sujatha
%A Sudhanshu Shekhar
%T On the structure of Selmer groups of lambda-adic deformations over $p$-adic Lie extensions
%J Documenta mathematica
%D 2012
%P 573-606
%V 17
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/376/
%R 10.4171/dm/376
%F 10_4171_dm_376
R. Sujatha; Sudhanshu Shekhar. On the structure of Selmer groups of lambda-adic deformations over $p$-adic Lie extensions. Documenta mathematica, Tome 17 (2012), pp. 573-606. doi: 10.4171/dm/376

Cité par Sources :