A note on Selmer groups of abelian varieties over the trivializing extensions-Reference-Cited by-同舟云学术

A note on Selmer groups of abelian varieties over the trivializing extensions

Published:2005-08-11 Issue:1 Volume:134 Page:31-37
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ochi Yoshihiro

Abstract

We prove that for any abelian variety A A defined over a number field K K that is not isogenous to a product of CM elliptic curves, the pontrjagin dual of the Selmer group of the abelian variety over the trivializing extension K ( A [ p ∞ ] ) K(A[p^\infty ]) has no nonzero pseudo-null submodules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-01/S0002-9939-05-08292-4/S0002-9939-05-08292-4.pdf

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