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]....
Gespeichert in:
| 1. Verfasser: | |
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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 |
MARC
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| 245 | 1 | 0 | |a On the μ-invariant of fine Selmer groups |c Chandrakant S Aribam |
| 246 | 3 | 3 | |a On the mu-invariant of fine Selmer groups |
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| 520 | |a 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. | ||
| 534 | |c 2013 | ||
| 650 | 4 | |a -adic L-functions | |
| 650 | 4 | |a Fine Selmer groups | |
| 650 | 4 | |a Galois representations | |
| 650 | 4 | |a Hida theory | |
| 650 | 4 | |a Modular forms | |
| 650 | 4 | |a Selmer groups | |
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