On the μ-invariant of fine Selmer groups
We give some examples of elliptic curves and modular forms with good ordinary reduction at a prime p such that the associated fine Selmer group defined over the cyclotomic Zp-extension of a certain number field has μ-invariant equal to zero, thus verifying a conjecture of Coates and Sujatha in [CS]....
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2014
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| In: |
Journal of number theory
Year: 2013, Jahrgang: 135, Pages: 284-300 |
| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2013.08.003 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jnt.2013.08.003 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0022314X13002151 
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| Verfasserangaben: | Chandrakant S Aribam |
| Zusammenfassung: | We give some examples of elliptic curves and modular forms with good ordinary reduction at a prime p such that the associated fine Selmer group defined over the cyclotomic Zp-extension of a certain number field has μ-invariant equal to zero, thus verifying a conjecture of Coates and Sujatha in [CS]. We also prove the conjecture for Galois representations associated to certain twists of CM cusp forms that arise from CM elliptic curves. |
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| Beschreibung: | Available online 25 October 2013 Gesehen am 12.10.2020 |
| Beschreibung: | Online Resource |
| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2013.08.003 |