Local Constants in Torsion Rings | Graduate School of Mathematical Sciences, The University of Tokyo

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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
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

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

$K$ .

Keywords:

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

Mathematical Reviews Number: MR2582036

Received: 2006-05-15

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