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Growth of Selmer Groups of CM Abelian Varieties

Published online by Cambridge University Press:  20 November 2018

Meng Fai Lim
Affiliation:
School of Mathematics and Statistics, Central China Normal University, NO.152, Luoyu RoadWuhan Hubeih430079, China e-mail: limmf@mail.ccnu.edu.cn
V. Kumar Murty
Affiliation:
Department of Mathematics, University of Toronto, 40 St. George St., Toronto ON, M5S 2E4Canada e-mail: murty@math.toronto.edu
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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2015

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