On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger

On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger

We prove the parity conjecture for the ranks of p-power Selmer groups (p⁄=2) of a large class of elliptic curves defined over totally real number fields.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Compositio mathematica 2009-11, Vol.145 (6), p.1351-1359
1. Verfasser: Nekovář, Jan
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove the parity conjecture for the ranks of p-power Selmer groups (p⁄=2) of a large class of elliptic curves defined over totally real number fields.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X09003959