Let K be a complete discrete valuation field of characteristic zero with residue field kK of characteristic p > 0. Let L=K be a finite Galois extension with Galois group G = Gal(L=K) and suppose that the induced extension of residue fields kL=kK is separable. Let Wn ( ) denote the ring of p-typical Witt vectors of length n. Hesselholt ['Galois cohomology of Witt vectors of algebraic integers', Math. Proc. Cambridge Philos. Soc. 137(3) (2004), 551-557] conjectured that the pro-abelian group fH1...[Show more]
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