Local Constants in Torsion Rings

J. Math. Sci. Univ. Tokyo
Vol. 16 (2009), No. 2, Page 125--197.

Yasuda, Seidai
Local Constants in Torsion Rings
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Abstract:
Let $p$ be a rational prime and $K$ a local field of residue characteristic $p$. In this paper, generalizing the theory of Deligne~\cite{De1}, we construct a theory of local $\ep_0$-constants for representations, over a complete local ring with an algebraically closed residue field of characteristic $\neq p$, of the Weil group $W_K$ of $K$.

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Mathematics Subject Classification (2000): Primary 11F80, 14G20; Secondary 11S15, 11S40.
Mathematical Reviews Number: MR2582036

Received: 2006-05-15