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Local constant ofInd LK 1

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Commentarii Mathematici Helvetici

Abstract

Henniart has computed the local constant ε (Ind LK 1) for an extensionL overK of local fields of odd degree in [H]. In this paper, we show that his formula is a consequence of results of Serre [S4] and of Deligne [D2]. Further we compute the local constant for an extension of even degree, assuming the residual characteristic is not equal to 2.

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References

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Authors and Affiliations

  1. Department of Mathematcal Sciences, University of Tokyo, 113, Tokyo, Japan

    Takeshi Saito

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  1. Takeshi Saito
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Saito, T. Local constant ofInd LK 1. Commentarii Mathematici Helvetici 70, 507–515 (1995). https://doi.org/10.1007/BF02566021

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  • DOI: https://doi.org/10.1007/BF02566021

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