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EQUIVARIANT LOCAL EPSILON CONSTANTS AND ÉTALE COHOMOLOGY

Published online by Cambridge University Press:  01 October 2004

MANUEL BREUNING
Affiliation:
Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom e-mail: [email protected]
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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.

Type
Notes and Papers
Copyright
The London Mathematical Society 2004

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