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Local ε 0 -characters in torsion rings

Seidai Yasuda — 2007

Journal de Théorie des Nombres de Bordeaux

Let p be a rational prime and K a complete discrete valuation field with residue field k of positive characteristic p . When k is finite, generalizing the theory of Deligne [], we construct in [] and [] a theory of local ε 0 -constants for representations, over a complete local ring with an algebraically closed residue field of characteristic p , of the Weil group W K of K . In this paper, we generalize the results in [] and [] to the case where k is an arbitrary perfect field.

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