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A note on Selmer groups of abelian varieties over the trivializing extensions |
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| Authors: | Yoshihiro Ochi |
| Institution: | School of Science and Engineering, Tokyo Denki University, Tokyo, 101--8457, Japan |
| Abstract: | We prove that for any abelian variety  defined over a number field  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 ![$K(Ap^\infty])$](http://www.ams.org/proc/2006-134-01/S0002-9939-05-08292-4/gif-abstract0/img3.gif){kind=small} has no nonzero pseudo-null submodules. |
| Keywords: | Selmer groups abelian varieties Iwasawa theory |
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