On μ-invariants of Selmer groups of some CM elliptic curves
We show that the Selmer groups defined over the cyclotomic ℤ3-extension of the field of 3-torsion points of the CM elliptic curves 256a1, 256a2, 256d1, 256d2, 121b1, 121b2 have μ-invariant equal to zero, verifying a conjecture in non-commutative Iwasawa theory.
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
14 May 2013
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| In: |
International journal of number theory
Year: 2013, Jahrgang: 9, Heft: 5, Pages: 1199-1214 |
| ISSN: | 1793-0421 |
| DOI: | 10.1142/S1793042113500206 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1142/S1793042113500206 Verlag, lizenzpflichtig, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S1793042113500206 
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| Verfasserangaben: | Chandrakant S. Aribam |
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| 520 | |a We show that the Selmer groups defined over the cyclotomic ℤ3-extension of the field of 3-torsion points of the CM elliptic curves 256a1, 256a2, 256d1, 256d2, 121b1, 121b2 have μ-invariant equal to zero, verifying a conjecture in non-commutative Iwasawa theory. | ||
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