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math.NT2020★ 3 cited
Notes on the dual of the ideal class groups of CM-fields
Masato Kurihara
In this paper, for a CM abelian extension of number fields, we propose a conjecture which describes completely the Fitting ideal of the minus part of the Pontryagin dual of t…
math.NT2020
Fitting ideals of -ramified Iwasawa modules over totally real fields
Cornelius Greither, Takenori Kataoka, Masato Kurihara
We completely calculate the Fitting ideal of the classical -ramified Iwasawa module for any abelian extension of totally real fields, using the shifted Fitting ideals rece…