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On the ranks of Iwasawa modules over $p$-adic Lie extensions

Published online by Cambridge University Press:  26 June 2003

YOSHIHIRO OCHI  and
OTMAR VENJAKOB
YOSHIHIRO OCHI
Affiliation:
Korea Institute for Advanced Study (KIAS), 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, South Korea. e-mail: ochi@kias.re.kr
OTMAR VENJAKOB
Affiliation:
Universität Heidelberg, Mathematisches Institut, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany. e-mail: otmar@mathi.uni-heidelberg.de
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Abstract

In this paper we study Iwasawa modules arising from Galois cohomology over general $p$-adic Lie extensions both in the local and global case. In particular we calculate their $\Lambda$-ranks. We then apply the results to abelian varieties.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 1 , July 2003 , pp. 25 - 43
Copyright
2003 Cambridge Philosophical Society

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