Fine Selmer groups and isogeny invariance
We investigate fine Selmer groups for elliptic curves and for Galois representations over a number field. More specifically, we discuss a conjecture, which states that the fine Selmer group of an elliptic curve over the cyclotomic extension is a finitely generated Zp-module.
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2016
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| In: |
Geometry, Algebra, Number Theory, and Their Information Technology Applications
Year: 2016, Pages: 419-444 |
| DOI: | 10.1007/978-3-319-97379-1 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.1007/978-3-319-97379-1 Verlag, Volltext: https://www.springer.com/gp/book/9783319973784 |
| Verfasserangaben: | R. Sujatha and M. Witte |
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| 520 | |a We investigate fine Selmer groups for elliptic curves and for Galois representations over a number field. More specifically, we discuss a conjecture, which states that the fine Selmer group of an elliptic curve over the cyclotomic extension is a finitely generated Zp-module. | ||
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