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arXiv · 1104.1762

A refinement of the local class field theory of Serre and Hazewinkel

Takashi Suzuki·Manabu Yoshida
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Abstract

We give a refinement of the local class field theory of Serre and Hazewinkel. This refinement allows the theory to treat extensions that are not necessarily totally ramified. Such a refinement was obtained and used in the authors' paper on Fontaine's property (Pm), where the explanation had to be rather brief. In this paper, we give a complete account, from necessary knowledge of an appropriate Grothendieck site to the details of the proof. We start by reviewing the local class field theory of Serre and Hazewinkel.

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Takashi Suzuki, Manabu Yoshida. 2011-04-10. A refinement of the local class field theory of Serre and Hazewinkel. https://arxiv.org/abs/1104.1762

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