Jha, Somnath ; Sujatha, R. (2011) On the Hida deformations of fine Selmer groups Journal of Algebra, 338 (1). pp. 180-196. ISSN 0021-8693
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00218...
Related URL: http://dx.doi.org/10.1016/j.jalgebra.2011.02.042
Abstract
In this paper, we study the fine Selmer group of p-adic Galois representations and their deformations. We show that for an infinite family of elliptic cuspforms, if the μ -invariant of the dual fine Selmer group is zero for one member of the family, then the same holds for all the other members. Further the λ -invariants are equal for all but finitely many members in the family.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Hida Theory; Selmer Group |
| ID Code: | 45262 |
| Deposited On: | 25 Jun 2011 13:34 |
| Last Modified: | 18 Jun 2012 11:54 |
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