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Growth of Selmer Groups of CM Abelian Varieties

Published online by Cambridge University Press:  20 November 2018

Meng Fai Lim  and
V. Kumar Murty
Meng Fai Lim
Affiliation:
School of Mathematics and Statistics, Central China Normal University, NO.152, Luoyu RoadWuhan Hubeih430079, China e-mail: [email protected]
V. Kumar Murty
Affiliation:
Department of Mathematics, University of Toronto, 40 St. George St., Toronto ON, M5S 2E4Canada e-mail: [email protected]
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Abstract

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Let $p$ be an odd prime. We study the variation of the $p$-rank of the Selmer groups of Abelian varieties with complex multiplication in certain towers of number fields.

Keywords

11G1511G1011R2311R34Selmer groupAbelian variety with complex multiplicationℤp–extensionp–Hilbert class tower
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 67 , Issue 3 , 01 June 2015 , pp. 654 - 666
Copyright
Copyright © Canadian Mathematical Society 2015

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