Mathematics – Number Theory
Scientific paper
2011-04-10
Mathematics
Number Theory
17 pages
Scientific paper
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 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.
Suzuki Takashi
Yoshida Manabu
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