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arXiv:2407.09002 [math.NT]AbstractReferencesReviewsResources

Rarity of pseudo-null Iwasawa modules for $p$-adic Lie extensions

Takenori Kataoka

Published 2024-07-12Version 1

In this paper, we obtain a necessary and sufficient condition for the pseudo-nullity of the $p$-ramified Iwasawa module for $p$-adic Lie extension of totally real fields. It is applied to answer the corresponding question for the minus component of the unramified Iwasawa module for CM-fields. The results show that the pseudo-nullity is very rare.

Comments: 14 pages
Categories: math.NT
Subjects: 11R23
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