Tate sequences and Fitting ideals of Iwasawa modules

@article{Greither2016TateSA,
  title={Tate sequences and Fitting ideals of Iwasawa modules},
  author={Cornelius Greither and Masato Kurihara},
  journal={St Petersburg Mathematical Journal},
  year={2016},
  volume={27},
  pages={941-965}
}
We consider abelian CM extensions L/k of a totally real field k, and we essentially determine the Fitting ideal of the dualized Iwasawa module studied by the second author [Ku3] in the case that only places above p ramify. In doing so we recover and generalise results of loc. cit. Remarkably, our explicit description of the Fitting ideal, apart from the contribution of the usual Stickelberger element Θ at infinity, only depends on the group structure of the Galois group Gal(L/k) and not on the… 
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