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.

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Bibliographische Detailangaben
Hauptverfasser: Sujatha, Ramdorai (VerfasserIn) , Witte, Malte (VerfasserIn)
Dokumenttyp: Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 2016
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
Volltext
Verfasserangaben:R. Sujatha and M. Witte
Beschreibung
Zusammenfassung: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.
Beschreibung:Der Beitrag hat keine eigene Frontpage
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Beschreibung:Online Resource
ISBN:9783319973791
DOI:10.1007/978-3-319-97379-1