5 citations · 18 across the 9 of their papers we have counts for
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On the Galois module structure of minus class groups
Cornelius Greither, Takenori Kataoka
The main object of this paper is the minus class groups associated to CM-fields as Galois modules. In a previous article of the authors, we introduced a notion of equivalence for m…
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…
Tame Galois module structure revisited
Fabio Ferri, Cornelius Greither
A number field is Hilbert-Speiser if all of its tame abelian extensions admit NIB (normal integral basis). It is known that is the only such field, but when…
Abstract -adic -motives and Tate's class
Cornelius Greither, Cristian D. Popescu
In a previous paper we constructed a new class of Iwasawa modules as --adic realizations of what we called abstract --adic --motives in the number field setting. We…
An Equivariant Main Conjecture in Iwasawa Theory and Applications
Cornelius Greither, Cristian D. Popescu
We construct a new class of Iwasawa modules, which are the number field analogues of the p-adic realizations of the Picard 1-motives constructed by Deligne in the 1970s and studied…
The Galois module structure of l-adic realizations of Picard 1-motives and applications
Cornelius Greither, Cristian D. Popescu
We show that the l-adic realizations of certain Picard 1-motives associated to a G-Galois cover of smooth, projective curves defined over an algebraically closed field are G-cohomo…