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EQUIVARIANT LOCAL EPSILON CONSTANTS AND ÉTALE COHOMOLOGY

Published online by Cambridge University Press:  01 October 2004

MANUEL BREUNING
MANUEL BREUNING
Affiliation:
Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom e-mail: breuning@mth.kcl.ac.uk
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Abstract

A conjecture is formulated which relates the equivariant local epsilon constant of a Galois extension of $p$-adic fields to a natural algebraic invariant coming from étale cohomology. Some evidence for the conjecture is provided and its relation to a conjecture for the equivariant global epsilon constant of an extension of number fields formulated by Bley and Burns is established.

Keywords

11S23 (primary)11S2511R33 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 289 - 306
Copyright
The London Mathematical Society 2004

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