Ramification groups in Artin-Schreier-Witt extensions

  title={Ramification groups in Artin-Schreier-Witt extensions},
  author={Lara Thomas},
Let K be a local field of characteristic p > 0. The aim of this paper is to describe the ramification groups for the prop abelian extensions over K with regards to the Artin-SchreierWitt theory. We shall carry out this investigation entirely in the usual framework of local class field theory. This leads to a certain non-degenerate pairing that we shall define in detail, generalizing in this way the Schmid formula to Witt vectors of length n. Along the way, we recover a result of Brylinski but… CONTINUE READING

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